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mrs_skeptik [129]
2 years ago
14

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

Mathematics
2 answers:
ryzh [129]2 years ago
5 0

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

kenny6666 [7]2 years ago
3 0

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!

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