Question

Consider the function f(x) = 10(x2 – 7x). what are the additive and multiplicative inverses?

Answer 1

Additive = -10x^2+70x

Multiplicative = 1/10x(x−7)

Explanation:

The multiplicative inverse of a number is the reciprocal of that number. Since 10(x^2−7x)⋅ 1/10x(x−7)=1 , then 1/10x(x−7) is the multiplicative inverse of 10(x^2−7x) .

Since 10(x^2−7x)−10x^2+70x=0 , then −10x^2+70x

is the additive inverse of 10(x^2−7x).