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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
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LARPRECALCRMRP7 1.5.042.

Submit Answer 4. [-/1 Points] DETAILS LARPRECALCRMRP7 1.5.022. Evaluate the indicated-example-1

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Answer:

-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}}

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