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4. [-/1 Points]
DETAILS LARPRECALCRMRP7 1.5.022.
Evaluate the indicated function for f(x)=x²-2 and g(x)=x-3 algebraically. If possible, use a graphing utility to verify yo
(f + g)(1)
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5. [3/3 Points] DETAILS
Consider the functions below.
f(z)=vr-1
g(x)=2²³ +1
falls
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LARPRECALCRMRP7 1.5.042.

Answer 1

-3

Explanation:

A composite function is formed when one function is applied to the result of another function. In this case, (f + g)(x) is formed by adding the function g(x) from the function f(x).

Therefore, to find (f + g)(1), we need to add function g(x) to function f(x) and then evaluate the result at x = 1.

Given functions:

`f(x)=x^2-2`

`g(x)=x-3`

Calculate f(x) - g(x):

`\begin{aligned}(f+g)(x)&=f(x)+g(x)\\&=(x^2-2)+(x-3)\\&=x^2-2+x-3\\&=x^2+x-5\end{aligned}`

Now, substitute x = 1 into the expression:

`\begin{aligned}(f+ g)(1) &=(1)^2+(1)-5\\&=1+1-5\\&=2-5\\&=-3\end{aligned}`

Therefore:

`\large\boxed{\boxed{(f+g)(1)=-3}}`