Question

Please help.....25 points!!!

Answer 1

Option 3

Explanation:

y = ⅗x - 9

Make x the subject

⅗x = y + 9

x = 5y/3 + 15

Interswitch variables

g^-1(x) = 5x/3 + 15

Answer 2

C

Explanation:

We want to find the inverse of g(x). One way to do this is to switch the g(x) and x in the original equation and then solve for g(x); that will give you the inverse.

Here,
`g(x)=(3)/(5) x-9`. Switch the g(x) and x to become:
`x=(3)/(5) g(x)-9`. Now solve for g(x) by isolating it:

`x=(3)/(5) g(x)-9`

`x+9=(3)/(5) g(x)`

`(5)/(3) * (x+9)= g(x)`

`g(x)=(5)/(3) x+15`

Thus, the answer is C.

Hope this helps!