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Neporo4naja [7]
3 years ago
7

Which of the following pairs of functions are inverses of each other?

Mathematics
2 answers:
Mars2501 [29]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

f(x) is multiplication

g(x) is division

Therefore these are opposite functions

have a nice day and mark me brainliest! :)

Alekssandra [29.7K]3 years ago
7 0

Answer:

A. f(x)=\frac{12}{x}-18 and g(x) = \frac{12}{x+18}

Step-by-step explanation:

For find the inverse of a funtion we have to solve for x in the equation:

f(x)=\frac{12}{x}-18

First, replace f(x) to y and solve for x as:

y=\frac{12}{x}-18

y+18=\frac{12}{x}

x(y+18)= 12

x = \frac{12}{y+18}

and finally we interchange y and x as:

y = \frac{12}{x+18}

and replace y by g(x):

g(x) = \frac{12}{x+18}

So, the inverse of the function f(x)=\frac{12}{x}-18 is g(x) = \frac{12}{x+18}

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