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How do I use the graph to evaluate the expression

How do I use the graph to evaluate the expression-example-1
User VolosBlur
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2.3k points

1 Answer

8 votes
8 votes

Answer:


(g\circ f)(-2)=1.5

Explanation:

We have that:


(g\circ f)(-2)=g(f(-2))

Which means that we first have to find f(-2), and the evaluate the result in g.

Let's take a look at the plot of f(x) to find f(-2):

This way, we can conlcude that:


f(-2)=-3

Now, let's take a look at the plot of g(x) to find g(-3):

This way, we can conclude that:


g(-3)=1.5

Therefore, we can conclude that:


(g\circ f)(-2)=1.5

How do I use the graph to evaluate the expression-example-1
How do I use the graph to evaluate the expression-example-2
User Bramus
by
2.3k points