Question

For f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x)

Answer 1

For this case we have the following functions:

$f (x) = 2x + 1\\g (x) = x ^ 2-7$

We must find the following sum of functions:

(f + g) (x)

By definition we have to:

$(f + g) (x) = f (x) + g (x)\\(f + g) (x) = 2x + 1 + x ^ 2-7\\(f + g) (x) = x ^ 2 + 2x-6$

So, we have to:

$(f + g) (x) = x ^ 2 + 2x-6$

Answer:

$(f + g) (x) = x ^ 2 + 2x-6$