Question

need help, inverse functions

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

−45

0

2

63

Answer 1

can you help?

Answer 2

f(x)=y
y = 6(x+2)-3 Swap the x and y
x = 6(y+2)-3
x= 6y + 12 -3
x= 6y + 9 Isolate the y term
6y =x-9 divide both sides by 6
y =(x-9)/6 Now substitute 21 for x as stated in the problem.
y =(21-9)/6
y = 12/6 = 2
y=2

Answer 3

or f(x) inverse = 2 when x=21

Answer 4

Ok, i get it now. thanks!

Answer 5

You're welcome and good luck with your studies.