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evablogger [386]
3 years ago
11

This is the last question from my hw

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

m = 9, n = 2

Step-by-step explanation:

Find f^{-1} (x) by letting y = f(x) and rearranging making x the subject, that is

y = mx + n ( subtract n from both sides )

y - n = mx ( divide both sides by m )

\frac{y-n}{m} = x

Change y back into terms of x with x = f^{-1} (x) , then

f^{-1} (x) = \frac{x-n}{m}

Given f^{-1} (x) = g(x) , then

\frac{x-n}{m} = \frac{x-2}{9}

By comparison of the 2 sides

m = 9 and n = 2

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