Math  /  Algebra

Question Express f(x)+g(x)f(x)+g(x) as a simplified rational function. Given f(x)=6x7,g(x)=5x+6f(x)=\frac{6}{x-7}, g(x)=\frac{5}{x+6}, find f(x)+g(x)f(x)+g(x).

Studdy Solution
The expression 11x+1(x7)(x+6)\frac{11x + 1}{(x-7)(x+6)} is already simplified, so this is our final answer.
f(x)+g(x)=11x+1(x7)(x+6)f(x) + g(x) = \frac{11x + 1}{(x-7)(x+6)}

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