Question

Find (f+g)(x) if f(x)=3x+10x and g(x)=5x-3

A. 3x+5x+3
B. 18x-3
C. 3x-5x+3
D. 3x+15x-3

Answer 1

To find (f+g)(x), we need to add the functions f(x) and g(x). The correct answer is 15x-3.

Step-by-step explanation:

To find (f+g)(x), we need to add the functions f(x) and g(x). Adding two functions means adding their corresponding terms. In this case, f(x) = 3x + 10x and g(x) = 5x - 3. Adding the corresponding terms, we get:

(f+g)(x) = (3x + 5x) + (10x - 3) = 8x + 7x - 3 = 15x - 3

So, the correct option is B. 18x-3.

Answer 2

This is the concept of algebra. Given that f(x)=3x+10x and g(x)=5x-3, then:
(f+g)(x)
=f(x)+g(x)
=3x+10x+5x-3
=18x-3
the answer is B. (f+g)(x)=(18x-3)