Examples
f(x)=12x+3x-7f(x)=12x+3x−7
Step 1
Rewrite the function as an equation.
y=12x+3x-7y=12x+3x−7
Step 2
Step 2.1
Combine 1212 and xx.
y=x2+3x-7y=x2+3x−7
Step 2.2
To write 3x3x as a fraction with a common denominator, multiply by 2222.
y=x2+3x⋅22-7y=x2+3x⋅22−7
Step 2.3
Simplify terms.
Step 2.3.1
Combine 3x3x and 2222.
y=x2+3x⋅22-7y=x2+3x⋅22−7
Step 2.3.2
Combine the numerators over the common denominator.
y=x+3x⋅22-7y=x+3x⋅22−7
y=x+3x⋅22-7y=x+3x⋅22−7
Step 2.4
Simplify each term.
Step 2.4.1
Simplify the numerator.
Step 2.4.1.1
Factor xx out of x+3x⋅2x+3x⋅2.
Step 2.4.1.1.1
Raise xx to the power of 11.
y=x1+3x⋅22-7y=x1+3x⋅22−7
Step 2.4.1.1.2
Factor xx out of x1x1.
y=x⋅1+3x⋅22-7y=x⋅1+3x⋅22−7
Step 2.4.1.1.3
Factor xx out of 3x⋅23x⋅2.
y=x⋅1+x(3⋅2)2-7y=x⋅1+x(3⋅2)2−7
Step 2.4.1.1.4
Factor xx out of x⋅1+x(3⋅2)x⋅1+x(3⋅2).
y=x(1+3⋅2)2-7y=x(1+3⋅2)2−7
y=x(1+3⋅2)2-7y=x(1+3⋅2)2−7
Step 2.4.1.2
Multiply 33 by 22.
y=x(1+6)2-7y=x(1+6)2−7
Step 2.4.1.3
Add 11 and 66.
y=x⋅72-7y=x⋅72−7
y=x⋅72-7y=x⋅72−7
Step 2.4.2
Move 77 to the left of xx.
y=7x2-7y=7x2−7
y=7x2-7y=7x2−7
y=7x2-7y=7x2−7
