Question

The functions f and g are defined as follows.

f(x)=-2x to the third power -3 g(x)=-2x-3

Find f(-2) and g(5) .


Simplify your answers as much as possible.

Answer 1

Explanation:

Given that,

`f(x)=-2x^(-3)\ ......(1)\\\\g(x)=-2x-3\ ......(2)`

Put x = -2 to find f(-2) in equation (1).

`f(-2)=-2(-2)^(-3)\\\\=(1)/(4)`

Put x = 5 to find g(5) in equation (2).

So,

`g(5)=-2(5)-3\\\\=-13`

Hence, f(-2) = 1/4 and g(5) = -13.