Question

State if the given functions are inverses. Please show steps

Answer 1

Answer:

Step-by-step explanation:

Let find inverse of f(x):

f(x) = $\frac{1}{x}$ + 2

y = $\frac{1}{x}$ + 2

$\frac{1}{x}$ = y - 2

x = $\frac{1}{y -2}$

y = $\frac{1}{x -2}$ is the inverse of f(x) = $\frac{1}{x}$ + 2

Therefore, f(x) and h(x) are not inverses.

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h(x) = $\frac{4}{x-3}$

y = $\frac{4}{x-3}$

x = $\frac{4}{y-3}$

y - 3 = $\frac{4}{x}$

y = $\frac{4}{x}$ + 3 is the inverse function of h(x)