Question

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

Answer 1

lets review the steps of finding an inverse function:
Step 1: Replace f(x) with y.
Step 2: Interchange x with y.
Step 3: Solve for y.

If this y is a function, it is the inverse of the original function.

If this y is NOT a function, there is no inverse.

Step 4: If f has an inverse function, then replace y with f inverse.

ok lets walk thru this problem

first lets rearrange the problem.
Given the function f(x) = 6(x+2) − 3

f(x)= 6x+12 -3 = 6x+9
Step 1
y=6x+9
step 2
x=6y+9
step3
can you solve for y?

Answer 2

thank you