Question

If f(x)=2x-5 and g(x)=x^2-4x-8, find (f+g)(x).

Answer 1

$f(x)=2x-5,\ g(x)=x^2-4x-8\\\\(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)\\\\=2x-5+x^2-4x-8=x^2+(2x-4x)+(-5-8)=x^2-2x-13$

Answer 2

Answer:

$\text{The value of (f+g)(x) is }x^2-2x-13$

Step-by-step explanation:

Given the two functions

$f(x)=2x-5$

$g(x)=x^2-4x-8$

we have to find the value of (f+g)(x)

As we know

$(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)$

$=2x-5+x^2-4x-8$

$=x^2+2x-4x-5-8=x^2-2x-13$

$\text{Hence, the value of (f+g)(x) is }x^2-2x-13$