If f (x) = 10x + 7 and g (x) = x^2 - 7x, find (f - g) (x)

A. (f - g) (x) = x^2 + 3x + 7

B. (f - g) (x) = 10x^3 - 63x^2 - 49x

C. (f - g) (x) = - x^2 + 17x + 7

D. (f - g) (x) = 10x + 7

Question

Jaida Fuentes

Mathematics

1 January, 22:02

If f (x) = 10x + 7 and g (x) = x^2 - 7x, find (f - g) (x)

A. (f - g) (x) = x^2 + 3x + 7

B. (f - g) (x) = 10x^3 - 63x^2 - 49x

C. (f - g) (x) = - x^2 + 17x + 7

D. (f - g) (x) = 10x + 7

+4

Answers (1)

Know the Answer?

Devin Todd · Answer 1

C

Step-by-step explanation:

note that (f - g) (x) = f (x) - g (x)

f (x) - g (x)

= 10x + 7 - (x² - 7x) ← distribute parenthesis by - 1

= 10x + 7 - x² + 7x ← collect like terms

= - x² + 17x + 7 → C

If f (x) = 10x + 7 and g (x) = x^2 - 7x, find (f - g) (x)A. (f - g) (x) = x^2 + 3x + 7B. (f - g) (x) = 10x^3 - 63x^2 - 49xC. (f - g) (x) = - x^2 + 17x + 7D. (f - g) (x) = 10x + 7

If f (x) = 10x + 7 and g (x) = x^2 - 7x, find (f - g) (x)

A. (f - g) (x) = x^2 + 3x + 7

B. (f - g) (x) = 10x^3 - 63x^2 - 49x

C. (f - g) (x) = - x^2 + 17x + 7

D. (f - g) (x) = 10x + 7