Question

The functions f and g are defined as follows.

Answer 1

`f(-5)=-16\\g(2)=-11`

Explanation:

By definition, a relation is a function if and only if each input value have one and only one output value.

The input values are the x-values and the output values are the y-values.

Given the function f(x):

`f(x)=3x-1`

You need to substitute
`x=-5` into this function:

`f(-5)=3(-5)-1`

And now you must evaluate in order to find the corresponding output value.

You get:

`f(-5)=-15-1\\\\f(-5)=-16`

The function g(x) is:

`g(x)=-2x^2-3`

Then, you need to substitute
`x=2` in the function:

`g(2)=-2(2)^2-3`

And finally you must evaluate in order to find the corresponding output value. This is:

`g(2)=-2(4)-3\\\\g(2)=-8-3\\\\g(2)=-11`