Question

Suppose f left parenthesis x right parenthesis equals x squared plus 4 and g left parenthesis x right parenthesis equals 2 x plus 1.

Find the value of f(-2)g(-2).


17


-24


40


13

Answer 1

C) -24

Explanation:

We have two functions here:

`f(x) = x^(2) + 4`

and

`g(x) = 2x + 1`

Now, both of these functions will be multiplied together after they are figured out (since they are next to each other), and they will have -2 replace x. For function f, we get:

`-2^(2) + 4`

For function g, we get:

`2 * -2 + 1`

Simplifying these two gives us:

`(4 + 4) * (1 - 4)`

Simplifying further gives us:

`8 * -3 = -24`

So, the value of f(-2)g(-2) is C) -24.

Hope this helped!

Answer 2

B) -24

Explanation:

Given functions:

`\begin{cases}f(x)=x^2+4\\g(x)=2x+1\end{cases}`

To find f(-2)g(-2), substitute x = -2 into both functions and multiply them:

`\begin{aligned}\implies f(-2)g(-2)&=\left((-2)^2+4\right)\left(2(-2)+1\right)\\&=\left(4+4\right)\left(-4+1\right)\\&=8 \cdot -3\\&=-24\end{aligned}`