Math  /  Algebra

QuestionFind (f+g)(x)(f+g)(x) for f(x)={5x+4 if x<2,x2+4x if x2}f(x)=\{5 x+4 \text{ if } x<2, x^{2}+4 x \text{ if } x \geq 2\} and g(x)={3x+1 if x0,x7 if x>0}g(x)=\{-3 x+1 \text{ if } x \leq 0, x-7 \text{ if } x>0\}.

Studdy Solution
Combine all the cases to write the sum function (f+g)(x)(f+g)(x).
(f+g)(x)={x+5 if x06x3 if 0<x<x+5x7 if x(f+g)(x)=\left\{\begin{array}{cc}x+5 & \text { if } x \leq0 \\6x-3 & \text { if }0<x< \\ x^{}+5x-7 & \text { if } x \geq\end{array}\right.

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