Question

Given the functions below, what is f(x)−g(x) ?

f(x)=7x3−10x2−5g(x)=2x3+7x2−9
A
5x3−17x2+4

B
5x3−3x2−14

C
9x3−3x2−14

D
5x3−17x2−14

Answer 1

f(x)-g(x)=5x^3-17x^2+4 which appears as option A

Explanation:

Simply subtract the function's expressions as shown below, and combine like terms to express the final result:

`f(x)=7x^3-10x^2-5\\g(x)=2x^3+7x^2-9\\f(x)-g(x)=7x^3-10x^2-5-[2x^3+7x^2-9]\\f(x)-g(x)=7x^3-10x^2-5-2x^3-7x^2+9\\f(x)-g(x)=7x^3-2x^3-10x^2-7x^2-5+9\\f(x)-g(x)=5x^3-17x^2+4`