Question

Let f (x) -2x + 5 and g(x) x^3 What is (g - f )(x)?

A. x^3 - 2x + 5
B. x^3 + 2x - 5
C. -x^3 - 2x + 5
D. -x^3 + 2x - 5

Answer 1

are the two functions

f(x) = -2x+5 and g(x) = x^3

right?

Answer 2

yes

Answer 3

(g-f)(x) is the same as saying g(x) - f(x)

Answer 4

g(x) - f(x) = x^3 - (-2x+5)

g(x) - f(x) = x^3 + 2x - 5

Answer 5

be sure to subtract ALL of f(x) from g(x)

so distribute that negative through to each term in f(x)

Answer 6

thank you so much @jim_thompson5910 i understand it now

Answer 7

you're welcome