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ランク	トピック	問題	フォーマット化された問題
49801	定義域を求める	(a-b)/(b-a)	$\frac{a - b}{b - a}$
49802	関数演算を解く	Given that f(x)=x^2+4x-60 and g(x)=x-6 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 4 x - 60$ and $g (x) = x - 6$ ; find $(f \cdot g) (x)$ and express the result in standard form.
49803	関数演算を解く	f(x)=(x+5)^2-4 if x!=-2; 4 if x=-2 Find f(-2)	$f (x) = {\begin{cases} {(x + 5)}^{2} - 4 & x \neq - 2 \\ 4 & x = - 2 \end{cases}$ Find $f (- 2)$
49804	漸近線を求める	f(x)=3csc(4x)	$f (x) = 3 \csc (4 x)$
49805	関数演算を解く	f(x)=-4x+8 g(x)=x^2-2x+1 Find: (fog)(x)	$f (x) = - 4 x + 8$ $g (x) = x^{2} - 2 x + 1$ Find: $((f \circ g)) (x)$
49806	関数演算を解く	f(x)=(x+10)^7 ; find f^-1(x)	$f (x) = {(x + 10)}^{7}$ ; find $f^{- 1} (x)$
49807	差商を求める	x^2	$x^{2}$
49808	関数演算を解く	Given g(x)=4x+4 ; find g(4)	Given $g (x) = 4 x + 4$ ; find $g (4)$
49809	最大公約数を求める	From 13xy^2 ; subtract 21xy^2	From $13 x y^{2}$ ; subtract $21 x y^{2}$
49810	関数演算を解く	f(x)=4 if x!=-1; -2 if x=-1 Find f(-1)	$f (x) = {\begin{cases} 4 & x \neq - 1 \\ - 2 & x = - 1 \end{cases}$ Find $f (- 1)$
49811	定義域を求める	f(x)=(3x^3+30)/(2x^3)	$f (x) = \frac{3 x^{3} + 30}{2 x^{3}}$
49812	定義域を求める	f(x)=1/( x^2+x-20)の平方根	$f (x) = \frac{1}{\sqrt{x^{2} + x - 20}}$
49813	最大公約数を求める	4yz , 2y^2	$4 y z$ , $2 y^{2}$
49814	関数演算を解く	f(x)=6x^(1/3)-2 ; find f^-1(x)	$f (x) = 6 x^{\frac{1}{3}} - 2$ ; find $f^{- 1} (x)$
49815	定義域を求める	f(x)=(x-4)/(6-3x)+ 6-2xの平方根	$f (x) = \frac{x - 4}{6 - 3 x} + \sqrt{6 - 2 x}$
49816	関数演算を解く	f(x)=x+5 g(x)=-x^2-5x Find f(g(-4))	$f (x) = x + 5$ $g (x) = - x^{2} - 5 x$ Find $f (g (- 4))$
49817	定義域を求める	g(t)=( pi-\|t\|)/(sin(t)-1/2)の自然対数	$g (t) = \frac{\ln (π - \| t \|)}{\sin (t) - \frac{1}{2}}$
49818	漸近線を求める	((x+6)(x+9))/(3(x+10))	$\frac{(x + 6) (x + 9)}{3 (x + 10)}$
49819	漸近線を求める	f(x)=(x(x+2))/(x^2-2x)	$f (x) = \frac{x (x + 2)}{x^{2} - 2 x}$
49820	定義域を求める	H(t)=( 3x-12)/(t-3)の平方根	$H (t) = \frac{\sqrt{3 x - 12}}{t - 3}$
49821	奇関数、偶関数、どちらでもないかを判断する	(x^2)/(x^2+1)	$\frac{x^{2}}{x^{2} + 1}$
49822	漸近線を求める	(2(3x+10))/((x+4)(x+3))	$\frac{2 (3 x + 10)}{(x + 4) (x + 3)}$
49823	関数の値を求める	f(x)=7x+11 g(x)=-2x+3 h(x)=3x^2+1 (f*g)(x)	$f (x) = 7 x + 11$ $g (x) = - 2 x + 3$ $h (x) = 3 x^{2} + 1$ $(f \cdot g) (x)$
49824	奇関数、偶関数、どちらでもないかを判断する	f(x)=5\|x\|	$f (x) = 5 \| x \|$
49825	関数演算を解く	f(x)=-x-6 g(x)=3x^2+7x+15 Find: (gof)(x)	$f (x) = - x - 6$ $g (x) = 3 x^{2} + 7 x + 15$ Find: $((g \circ f)) (x)$
49826	定義域を求める	x+1+1の平方根の平方根	$\sqrt{\sqrt{x + 1} + 1}$
49827	定義域を求める	f(x)=5/( x-1-3)の平方根	$f (x) = \frac{5}{\sqrt{x - 1} - 3}$
49828	関数演算を解く	g(a)=-3a-3 f(a)=a^2+5 find (g-f)(a)	$g (a) = - 3 a - 3$ $f (a) = a^{2} + 5$ find $(g - f) (a)$
49829	最大公約数を求める	8xy and 12x	$8 x y$ and $12 x$
49830	傾きを求める	(-7,-4) and (0,-2)	$(- 7, - 4)$ and $(0, - 2)$
49831	最大公約数を求める	-8d^3 and 14d^4	$- 8 d^{3}$ and $14 d^{4}$
49832	定義域を求める	f(x)=(x^2+x)/(x^2-7x+10)	$f (x) = \frac{x^{2} + x}{x^{2} - 7 x + 10}$
49833	最大公約数を求める	14ab , 28ab	$14 a b$ , $28 a b$
49834	定義域を求める	f(x)=(9-e^x)/(1-e^(9-x^2))	$f (x) = \frac{9 - e^{x}}{1 - e^{9 - x^{2}}}$
49835	頂点を求める	3y^2=x	$3 y^{2} = x$
49836	関数演算を解く	If P(x)=x^2+x+5 ; find P(8)	If $P (x) = x^{2} + x + 5$ ; find $P (8)$
49837	傾きを求める	(-4,-4) and (-4,-9)	$(- 4, - 4)$ and $(- 4, - 9)$
49838	最大公約数を求める	20 and 50	$20$ and $50$
49839	傾きを求める	Find the slope of the line passing through the points (-6,6) and (4,-7)	Find the slope of the line passing through the points $(- 6, 6)$ and $(4, - 7)$
49840	漸近線を求める	(2(5x-7)(x-1))/(3x(3x-1))	$\frac{2 (5 x - 7) (x - 1)}{3 x (3 x - 1)}$
49841	関数の値を求める	cos(theta)=-4/5 , theta in quadrant II	$\cos (θ) = - \frac{4}{5}$ , $θ$ in quadrant $I \cdot I$
49842	最大公約数を求める	45x and 20	$45 x$ and $20$
49843	傾きを求める	(-8,-1) and (-6,-2)	$(- 8, - 1)$ and $(- 6, - 2)$
49844	関数演算を解く	Given that f(x)=x^2+17x+72 and g(x)=x+9 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 17 x + 72$ and $g (x) = x + 9$ ; find $f (x) - g (x)$ and express the result in standard form.
49845	漸近線を求める	f(x)=2	$f (x) = 2$
49846	傾きを求める	(-3,-3) and (-18,-23)	$(- 3, - 3)$ and $(- 18, - 23)$
49847	関数演算を解く	(-3,2) y (5,-8)	$(- 3, 2)$ $y$ $(5, - 8)$
49848	関数演算を解く	Given that sin(x)=-1/3 and x belongs to Quadrant IV Then	Given that $\sin (x) = - \frac{1}{3}$ and $x$ belongs to Quadrant $I V$ Then
49849	関数演算を解く	f(x)=(x^5)/7 ; find f^-1(x)	$f (x) = \frac{x^{5}}{7}$ ; find $f^{- 1} (x)$
49850	関数演算を解く	f(x)=x^5-6 ; find f^-1(x)	$f (x) = x^{5} - 6$ ; find $f^{- 1} (x)$
49851	奇関数、偶関数、どちらでもないかを判断する	\|x\|^3	${\| x \|}^{3}$
49852	定義域を求める	f(x)=1/(1+e^x)	$f (x) = \frac{1}{1 + e^{x}}$
49853	漸近線を求める	y=3+1/(x+1)	$y = 3 + \frac{1}{x + 1}$
49854	定義域を求める	x/(x^2+x-12)	$\frac{x}{x^{2} + x - 12}$
49855	関数の値を求める	f(x)=x^2-x , f(-4)	$f (x) = x^{2} - x$ , $f (- 4)$
49856	漸近線を求める	(2x^2-5x+3)/(x-1)	$\frac{2 x^{2} - 5 x + 3}{x - 1}$
49857	関数演算を解く	g(x)=5-6x Find g(-5)	$g (x) = 5 - 6 x$ Find $g (- 5)$
49858	漸近線を求める	(3x^3+x^2+1)/(x^4+2x)	$\frac{3 x^{3} + x^{2} + 1}{x^{4} + 2 x}$
49859	定義域を求める	f(x) = square root of (x+5)/(2-x)	$f (x) = \sqrt{\frac{x + 5}{2 - x}}$
49860	漸近線を求める	(3x^2+x-5)/(x^2+1)	$\frac{3 x^{2} + x - 5}{x^{2} + 1}$
49861	関数演算を解く	f(x)=2x^2+5x-17 ; find f(-1)	$f (x) = 2 x^{2} + 5 x - 17$ ; find $f (- 1)$
49862	関数演算を解く	Given that f(x)=x^2-13x+40 and g(x)=x-5 ; find (f(x))÷(g(x)) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 40$ and $g (x) = x - 5$ ; find $f (x) \div g (x)$ and express the result in standard form.
49863	傾きを求める	(-4,-2) and (4,0)	$(- 4, - 2)$ and $(4, 0)$
49864	漸近線を求める	F(x)=(x+1)/x	$F (x) = \frac{x + 1}{x}$
49865	関数演算を解く	f(x)=(x+6)^2-6 if x!=-5; -1 if x=-5 Find f(-3)	$f (x) = {\begin{cases} {(x + 6)}^{2} - 6 & x \neq - 5 \\ - 1 & x = - 5 \end{cases}$ Find $f (- 3)$
49866	関数演算を解く	f(x)=-(x-1)^2 if x!=-1; 0 if x=-1 Find f(-1)	$f (x) = {\begin{cases} - {(x - 1)}^{2} & x \neq - 1 \\ 0 & x = - 1 \end{cases}$ Find $f (- 1)$
49867	関数演算を解く	If f(x)=-x^3+x^2+x ; find f(-3)	If $f (x) = - x^{3} + x^{2} + x$ ; find $f (- 3)$
49868	漸近線を求める	(x^2+x-90)/(2x-18)	$\frac{x^{2} + x - 90}{2 x - 18}$
49869	関数演算を解く	f(x)=2x^3-5x^2 g(x)=2x-1 Find (f*g)(x)	$f (x) = 2 x^{3} - 5 x^{2}$ $g (x) = 2 x - 1$ Find $(f \cdot g) (x)$
49870	関数演算を解く	Given that f(x)=x^2+12x+32 and g(x)=x+4 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 12 x + 32$ and $g (x) = x + 4$ ; find $(f - g) (x)$ and express the result in standard form.
49871	漸近線を求める	y=sec(pix)	$y = \sec (π x)$
49872	定義域を求める	f(x)=(5x)/(5+ 20-x)の平方根	$f (x) = \frac{5 x}{5 + \sqrt{20 - x}}$
49873	漸近線を求める	f(x)=(X^2-1)/(x+2)	$f (x) = \frac{X^{2} - 1}{x + 2}$
49874	関数演算を解く	Given that f(x)=x^2+16x+60 and g(x)=x+10 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 16 x + 60$ and $g (x) = x + 10$ ; find $f (x) - g (x)$ and express the result in standard form.
49875	関数演算を解く	j(x) = square root of x+6 k(x)=9-x Find j(k(11))	$j (x) = \sqrt{x + 6}$ $k (x) = 9 - x$ Find $j (k (11))$
49876	関数の値を求める	cos(theta)=-5/13 , theta in Quadrant III	$\cos (θ) = - \frac{5}{13}$ , $θ$ in Quadrant $I \cdot I \cdot I$
49877	漸近線を求める	g(x)=((x-8)(x+1)(x+3))/((x-2)(x+1))	$g (x) = \frac{(x - 8) (x + 1) (x + 3)}{(x - 2) (x + 1)}$
49878	定義域を求める	(x(x-1))/5	$\frac{x (x - 1)}{5}$
49879	関数演算を解く	Given that f(x)=x^2+3x-70 and g(x)=x-7 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 70$ and $g (x) = x - 7$ ; find $(f - g) (x)$ and express the result in standard form.
49880	定義域を求める	y=(9x^2)/(6x^2-23x+20)	$y = \frac{9 x^{2}}{6 x^{2} - 23 x + 20}$
49881	関数演算を解く	f(x)=-(x-2)^2-3 if x<4; -5 if x=4; 1/2x-10 if x>4 Find f(1)	$f (x) = {\begin{cases} - {(x - 2)}^{2} - 3 & x < 4 \\ - 5 & x = 4 \\ \frac{1}{2} x - 10 & x > 4 \end{cases}$ Find $f (1)$
49882	傾きを求める	(-1,-10) and (5,2)	$(- 1, - 10)$ and $(5, 2)$
49883	関数演算を解く	If P(x)=x^2+x+3 ; find P(8)	If $P (x) = x^{2} + x + 3$ ; find $P (8)$
49884	関数演算を解く	f(x)＝x+3 ; find f^-1(x)の5乗根	$f (x) = \sqrt[5]{x + 3}$ ; find $f^{- 1} (x)$
49885	傾きを求める	(3,-3) to (-1,2)	$(3, - 3)$ to $(- 1, 2)$
49886	漸近線を求める	f(x)=(x^3-5x^2+6x)/(-3x^2+6x+9)	$f (x) = \frac{x^{3} - 5 x^{2} + 6 x}{- 3 x^{2} + 6 x + 9}$
49887	定義域を求める	(x-3)/( 16-x^2)の平方根	$\frac{x - 3}{\sqrt{16 - x^{2}}}$
49888	頂点を求める	(x-1)^2+(y^2)/25=1	${(x - 1)}^{2} + \frac{y^{2}}{25} = 1$
49889	最大公約数を求める	12p^2 and 30q^5	$12 p^{2}$ and $30 q^{5}$
49890	関数演算を解く	Given that f(x)=x^2+6x-40 and g(x)=x+10 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 6 x - 40$ and $g (x) = x + 10$ ; find $f (x) + g (x)$ and express the result in standard form.
49891	定義域を求める	(a^2-b^2)/(a^2-3a)*(2a-6)/((a+b)^2)	$\frac{a^{2} - b^{2}}{a^{2} - 3 a} \cdot \frac{2 a - 6}{{(a + b)}^{2}}$
49892	漸近線を求める	m(x)=(x^2+16)/(2x)	$m (x) = \frac{(x^{2} + 16)}{2 x}$
49893	定義域を求める	-(10a^2x)/(9by)	$- \frac{10 a^{2} x}{9 b y}$
49894	傾きを求める	(5,-5) and (11,7)	$(5, - 5)$ and $(11, 7)$
49895	関数演算を解く	Given that f(x)=x^2+10x+21 and g(x)=x+7 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 10 x + 21$ and $g (x) = x + 7$ ; find $(f \cdot g) (x)$ and express the result in standard form.
49896	傾きを求める	(-6,-4) and (-12,-4)	$(- 6, - 4)$ and $(- 12, - 4)$
49897	漸近線を求める	f(x)=3/(x^2+x-2)+4	$f (x) = \frac{3}{x^{2} + x - 2} + 4$
49898	関数演算を解く	f(x)=3x^2+2x-10 g(x)=3x+9 Find: (gof)(x)	$f (x) = 3 x^{2} + 2 x - 10$ $g (x) = 3 x + 9$ Find: $((g \circ f)) (x)$
49899	放物線であるかどうかを証明しなさい。	y=1/4x^2	$y = \frac{1}{4} x^{2}$
49900	定義域を求める	L(v)=v 1-v^2の自然対数	$L (v) = v \ln (1 - v^{2})$