Question

Help please plase please ples ples ples

Answer 1

Answer:

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

Step-by-step 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.

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

Answer 2

Answer:

7

Step-by-step 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)