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Gnesinka [82]
2 years ago
14

Help please thank you!

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
6 0

Answer:

g(f(x)) = x

Yes, the functions are inverses.

Step-by-step explanation:

Hi there!

We're given:

f(x) = 8x-7

g(x)=\displaystyle\frac{x+7}{8}

To solve for g(f(x)), plug f(x) into g(x) as x:

g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x

Because g(f(x)) = x, the two functions are inverses.

I hope this helps!

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