Question

The function G (X) was obtained by transforming F (X)=1/x. The function F (X) is reflected about the x-axis and translate it up 12 units. Which equation represents G(x)?

Answer 1

EXPLANATION

Given the function f(x)= 1/ x

Reflecting it about the x-axis, give us the function f(x) = -1/x

Translating it up 12 units will give us the following function:

$f_{\text{transformed}}(x)=-\frac{1}{x}+12$

The function g(x) is as shown as follows:

$g(x)=-\frac{1}{x}+12$