Question

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

PLEASE ANSWER ACCURATELY

Answer 1

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

Answer 2

`\displaystyle f[g(2)] = 3`

Explanation:

We are given the two functions:

`\displaystyle f(x) = -2x - 1\text{ and } g(x) = -x`

And we want to find the value of:

`\displaystyle f[g(2)]`

First, evaluate g(2):

`\displaystyle \begin{aligned} g(2) &= -(2) \\ &= -2\end{aligned}`

Substitute:

`\displaystyle f[g(2)] = f(-2)`

Evaluate f(-2):

`\displaystyle \begin{aligned} f(-2) &= -2(-2) - 1 \\ &= 4 - 1 \\ &= 3\end{aligned}`

Therefore:

`\displaystyle f[g(2)] = 3`