Trigonometry Examples

$h (x) = \frac{3}{2 - x}$ , $h (x) = f (g)$

Step 1

Substitute $f (g)$ for $h (x)$ .

$f (g) = \frac{3}{2 - x}$

Step 2

Divide each term in $f g = \frac{3}{2 - x}$ by $g$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $f g = \frac{3}{2 - x}$ by $g$ .

$\frac{f g}{g} = \frac{\frac{3}{2 - x}}{g}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $g$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{f g}{g} = \frac{\frac{3}{2 - x}}{g}$

Step 2.2.1.2

Divide $f$ by $1$ .

$f = \frac{\frac{3}{2 - x}}{g}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$f = \frac{3}{2 - x} \cdot \frac{1}{g}$

Step 2.3.2

Multiply $\frac{3}{2 - x}$ by $\frac{1}{g}$ .

$f = \frac{3}{(2 - x) g}$

Step 2.3.3

Reorder factors in $\frac{3}{(2 - x) g}$ .

$f = \frac{3}{g (2 - x)}$