Question

The functions f and g are defined as follows.

Answer 1

Answer:

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

Step-by-step 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:

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