Select the correct answer.
Find the inverse of function f.
f(x) = 1/2x + 7

f'(x)= 2x - 14

Step-by-step explanation:

change f(x) to y   y = 1/2x + 7

switch x and y    x = 1/2y + 7

multiply everything by 2 to cancel the denominator 2x = y + 14

solve for y     2x - 14 = y

then change y to f'(x)   f'(x) = 2x - 14

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.