Question

if f(x)=5x-6 and g(x)=x^2-4x-8, find (f+g)(x)
a. (f+g)(x)=x^2-x-2
b. (f+g)(x)=6x^2-4x-14
c. (f+g)(x)=x^2+x-14
d. (f+g)(x)=x^2-9x-2

Answer 1

(f+g)(x)= f(x) + g(x) = 5x-6 + x^2-4x-8 = x^2+x-14

Answer 2

Answer:

Option c -$(f+g)(x)=x^2+x-14$  

Step-by-step explanation:

Given : $f(x)=5x-6$ and $g(x)=x^2-4x-8$        

To find : The value of $(f+g)(x)$?

Solution :

Step 1 - Write the expression in form,

$(f+g)(x)=f(x)+g(x)$    

Step 2 - Substitute the value of f(x) and g(x),

$(f+g)(x)=5x-6+x^2-4x-8$    

Step 3 - Solve by adding like terms,

$(f+g)(x)=x^2+x-14$    

Therefore, The value of the expression is $(f+g)(x)=x^2+x-14$  

So, Option 'c' is correct.