Math  /  Algebra

QuestionFind the sum function (f+g)(x)(f+g)(x) for f(x)=5x+4f(x)=5x+4 if x<2x<2 and x2+4xx^2+4x if x2x \geq 2, and g(x)=3x+1g(x)=-3x+1 if x0x \leq 0 and g(x)=x7g(x)=x-7 if x>0x > 0.

Studdy Solution
Now we have the sum function (f+g)(x)(f+g)(x) for all possible ranges of xx. So, we can write(f+g)(x)={x2+x+ if xx2+5x7 if <x<26x3 if x2(f+g)(x) = \left\{\begin{array}{c}x^2+x+ \text { if } x \leq \\ x^2+5x-7 \text { if } < x <2 \\6x-3 \text { if } x \geq2\end{array}\right.
This is the sum function (f+g)(x)(f+g)(x).

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