jordan2045064
Answered

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 :

martysanin

Answer:

C) -24

Step-by-step explanation:

We have two functions here:

[tex]f(x) = x^{2} + 4[/tex]

and

[tex]g(x) = 2x + 1[/tex]

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:

[tex]-2^{2} + 4[/tex]

For function g, we get:

[tex]2 * -2 + 1[/tex]

Simplifying these two gives us:

[tex](4 + 4) * (1 - 4)[/tex]

Simplifying further gives us:

[tex]8 * -3 = -24[/tex]

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

Hope this helped!

semsee45

Answer:

B)  -24

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=x^2+4\\g(x)=2x+1\end{cases}[/tex]

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

[tex]\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}[/tex]

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