F\left( x \right) = 3x + 6f(x)=3x+6. Find the inverse of f(x). A.{f^{ - 1}}\left( x \right) = 6 - 3xf −1 (x)=6−3x
B.{f^{ - 1}}\left( x \right) = \frac{{x - 3}}{6}f −1 (x)= 6x−3
C.{f^{ - 1}}\left( x \right) = \frac{{x - 6}}{3}f −1 (x)= 3x−6
D.{f^{ - 1}}\left( x \right) = 3x - 6f −1x)=3x−6
it c

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.