Question

Given the function f(x) = 6(x+2) − 3, solve for the inverse function when x = 21.

Answer 1

hi welcome to openstudy!

just to make sure, it is 6(x+2) right? not 6(x+2)^2?

Answer 2

Y=f(x)
Y+3=6(x+2)
(Y+3)/6=x+2
(y+3)/6-2=x
Interchange x and y
(x+3)/6-2=y
Given x=21 as now above function is inverse.
(21+3)/6-2=y
4-2=y
y=2. answer