Question

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

Answer 1

Answer:

Option 3

Step-by-step 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

Answer:

C

Step-by-step 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, $g(x)=\frac{3}{5} x-9$. Switch the g(x) and x to become: $x=\frac{3}{5} g(x)-9$. Now solve for g(x) by isolating it:

$x=\frac{3}{5} g(x)-9$

$x+9=\frac{3}{5} g(x)$

$\frac{5}{3} * (x+9)= g(x)$

$g(x)=\frac{5}{3} x+15$

Thus, the answer is C.

Hope this helps!