Question

Select the correct answer.

Answer 1

Answer:

$g(x) = -\frac{1}{2}\tan{x}$

Step-by-step explanation:

Tangent function:

The tangent function is:

$f(x) = \tan{x}$

Horizontally compressed by a factor of 1/2

Horizontally compressing by a factor of 1/2 is multiplying by 1/2. So

$g(x) = \frac{1}{2}\tan{x}$

Reflected over the x-axis.

Reflecting a function over the x-axis is the same as multiplying it by -1. Then g is given by:

$g(x) = -\frac{1}{2}\tan{x}$