Let f(x)=x^2-1 and g(x)=sqrt(x+2) Determine h(x)=f(g(x)) and Simplify

Name: Let F(x)=x^2-1 and G(x)=sqrt(x+2) Determine H(x)=f(g(x)) and Simplify
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Answer 1

## Step 1: Substitute

into

### We are given

and

. To find

, we substitute

into

wherever we see

. So,

.## Step 2: Simplify the expression### Now we simplify the expression.

simplifies to

. Therefore,

.## Step 3: Combine like terms### Combining like terms, we get

.

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