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Chapter 1: Problem 20

Evaluate the indicated function for \(f(x)=x^{2}+1\) and \(g(x)=x-4\). $$ (f+g)(1) $$

Short Answer

Expert verified
The value of \((f+g)(1)\) is -1

Step by step solution

01

Evaluate f(1)

The function \(f(x) = x^{2}+1\) is given. Substitute the specified \(x = 1\) into the function. So, \(f(1) = (1)^{2}+1 = 2\)
02

Evaluate g(1)

Similarly, for the function \(g(x) = x-4\), substitute \(x = 1\) into the function. So, \(g(1) = 1 - 4 = -3\)
03

Calculate (f+g)(1)

Now, having calculated the individual values for \(f(1)\) and \(g(1)\), calculations for \((f+g)(1)\) can be made. This essentially means adding the evaluations of both functions at \(x = 1\). Hence, \((f+g)(1) = f(1) + g(1) = 2 + (-3) = -1\)

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