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If f(x) = -2x- 1 and g(x) = -x what is the value of f [g(2)]?

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Sagot :

Answer:

[tex]\displaystyle f[g(2)] = 3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = -2x - 1\text{ and } g(x) = -x[/tex]

And we want to find the value of:

[tex]\displaystyle f[g(2)][/tex]

First, evaluate g(2):

[tex]\displaystyle \begin{aligned} g(2) &= -(2) \\ &= -2\end{aligned}[/tex]

Substitute:

[tex]\displaystyle f[g(2)] = f(-2)[/tex]

Evaluate f(-2):

[tex]\displaystyle \begin{aligned} f(-2) &= -2(-2) - 1 \\ &= 4 - 1 \\ &= 3\end{aligned}[/tex]

Therefore:

[tex]\displaystyle f[g(2)] = 3[/tex]

If you put 2x-1 and g(x), just put 437x-1(g(2) it would be marked correct