Given that f(x) = 3x - 7 and that (f + g)(x) = 7x + 3, find g(x).

Given that f(x) = 3x - 7 and that (f + g)(x) = 7x + 3, find g(x).

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casincal
Recall that (f+g)(x)=f(x)+g(x) so we can write: 7x+3=(3x-7)+g(x)
Subtract 3x from both sides: 4x+3=-7+g(x)
Add 7 to both sides: 4x+10=g(x)
or
g(x)=4x+10
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