If $f(x) = 3x + 5$ and $g(x) = x^2$ , what is $f(x) + g(x)$ ?

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Answer 1 · 2018-06-20T15:52:25

$x^2+3x+5$

You can simply add the definition of the function: starting from

$f(x)+g(x)$

substitute $f(x)$ with its definition $3x+5$ , and $g(x)$ with its definition $x^2$ to get

$color(red)(f(x))+color(blue)(g(x)) = color(red)(3x+5)+color(blue)(x^2)$

If you prefer, you can rearrange the polynomial in the usual order:

$x^2+3x+5$

If f(x) = 3x + 5f(x) = 3x + 5 and g(x) = x^2g(x) = x^2, what is f(x) + g(x)f(x) + g(x)?