Question

Given that f(x) = x2 –3x – 40 and g(x) = x +5, find (f +g)(x) and express
the result in standard form.

Answer 1

Answer:

$(f+g)(x)=x^2-2x-35$

Step-by-step explanation:

So we have the two functions:

$f(x)=x^2-3x-40\text{ and } g(x)=x+5$

And we want to find (f+g)(x). This is the same as:

$(f+g)(x)=f(x)+g(x)$

Substitute:

$=(x^2-3x-40)+(x+5)$

Combine like terms:

$=x^2+(-3x+x)+(-40+5)$

Add:

$=x^2-2x-35$

And we're done!