If f (x) = 4x3+3x2-5x+20 and g (x) = 9x3-4x2+10x-55, what is (g-f) (x) ?

A) 5x3-7x2+15x-75

B) 5x3+x2+5x+35

C) 13x3-x2+5x-35

D) - 5x3+7x2-15x+75

Question

Emmett

Mathematics

30 November, 11:02

If f (x) = 4x3+3x2-5x+20 and g (x) = 9x3-4x2+10x-55, what is (g-f) (x) ?

A) 5x3-7x2+15x-75

B) 5x3+x2+5x+35

C) 13x3-x2+5x-35

D) - 5x3+7x2-15x+75

+2

Answers (1)

Know the Answer?

Elianna · Answer 1

Step-by-step explanation:

(g-f) (x) = 9x³ - 4x² + 10x - 55 - [ 4x³ + 3x² - 5x + 20]

To remove the parenthesis, take - inside, multiply f (x) by - 1

= 9x³ - 4x² + 10x - 55 - 4x³ - 3x² + 5x - 20

Now, bring like terms together,

= 9x³ - 4x³ - 4x² - 3x² + 10x + 5x - 55 - 20

= 5x³ - 7x² + 15x - 75

If f (x) = 4x3+3x2-5x+20 and g (x) = 9x3-4x2+10x-55, what is (g-f) (x) ?A) 5x3-7x2+15x-75B) 5x3+x2+5x+35C) 13x3-x2+5x-35D) - 5x3+7x2-15x+75

If f (x) = 4x3+3x2-5x+20 and g (x) = 9x3-4x2+10x-55, what is (g-f) (x) ?

A) 5x3-7x2+15x-75

B) 5x3+x2+5x+35

C) 13x3-x2+5x-35

D) - 5x3+7x2-15x+75