Question

(this is multiple choice and i raised points make sure to EXPLAIN !)

whats the sum of f and g ?
f(x)=10-2x and g(x)=7x+5

a) (f+g)(x)=5+5x
b) (f+g)(x)=5+9x
c) (f+g)(x)=15+5x
d) (f+g)(x)=15+9x

Answer 1

f(x) = 10 - 2x

g(x) = 7x + 5

(f + g) (x) = (10 - 2x) + (7x + 5) //Adding two functions

= 10 - 2x + 7x + 5

= 15 + 5x

Answer: C.

//Hope it helps.

Answer 2

C

Explanation:

Basically (f+g)(x) = f(x)+g(x).

Following this rule you combine like terms.

7x-2x=5x and 10+5 = 15.

Therefore the answer is C.