Question

Help please plase please ples ples ples

Answer 1

7

Explanation:

From the graph....you can see g(-2) = -3 ( see attached diagram below)

then f(-3) = 7 ( because -3 is less than -2. ... so it = 7)

Answer 2

`f(g(-2))=7.`

Explanation:

When asking for
`f(g(-2))` they are basically asking you to evaluate the function
`g(x)` for -2, find a y value, and plug in that value as x in
`f(x).`

Let's do it step-by-step:

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

G(x) is given as a graph, therefore, you will have to see what value of axis y marks the graphic when you make x=-2. Check the attached image. As you may notice, the value that function g(x) generates for x= -2 is y= -3. Hence, g(-2)= -3.

2. Substitute the value into f(x).

F(x) is a piecewise function, so we'll need to determine the group the value fits into and calculate with the expession that corresponds for that value. Our value is -3, this value is less than -2, therefore, the function we'll have to use is
`f(x)=7`.

3. Determine the value of f(-3).

Since f(x)= 7 for our value (-3), the result is 7.

4. Express your answer.

`f(g(-2))=7.`