354,027 views
43 votes
43 votes
Let f(x)= 7x-2 and g(x)= sqrt (x) + 2x. what are (f+g)(x) and (f-g)(x)?

User Strelok
by
3.1k points

1 Answer

25 votes
25 votes

Answer:


(f+g) (x) =
9x + √(x) -2


(f-g)(x) =
5x - \sqrt x - 2

Explanation:


f(x) = 7x - 2


g(x) = √(x) + 2x

To calculate
(f+g) (x) and
(f-g)(x), we have to add and subtract
f(x) and
g(x) respectively:


(f+g) (x)


f(x) + g(x)


7x - 2 \: + √(x) + 2x


9x + √(x) -2


(f-g)(x)


7x - 2 - (\sqrt x + 2x)


7x - 2 - \sqrt x - 2x


5x - \sqrt x - 2

User HardyVeles
by
3.1k points