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11 votes
11 votes
TBH, i am not sure what im doing. Here is a pic of the question.

TBH, i am not sure what im doing. Here is a pic of the question.-example-1

1 Answer

17 votes
17 votes

Answer:

7

Explanation:

The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.

Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.

Now, the problem becomes evaluating g(2).

You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.

Now, you know ...

g(h(-3)) = g(2) = 7

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