Question

Algebra 2 (A P E X) please respond asap

Answer 1

The functions are inverse function because (d) $\sqrt{g(x) -5} + 4$

How to determine the inverse statement?

The functions are given as:

$f(x) = \sqrt{x -5} + 4$

$g(x) = (x - 4)^2 + 5$

If the functions are inverse functions, then

f(g(x)) = x

Start by calculating f(g(x)), as follows:

$f(x) = \sqrt{x -5} + 4$

$f(g(x)) = \sqrt{g(x) -5} + 4$

This gives

$f(g(x)) = \sqrt{(x - 4)^2 + 5 -5} + 4$

Evaluate the difference

$f(g(x)) = \sqrt{(x - 4)^2} + 4$

Evaluate the exponent

f(g(x)) = x - 4 + 4

Evaluate the difference

f(g(x)) = x

Hence, the functions are inverse function because $\sqrt{g(x) -5} + 4$

Read more about inverse functions at:

brainly.com/question/14391067

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