Question

R(x)=x-6 s(x) = 2x2 write the expressions for (r+s)(x) and (r-s)(x) and evaluate (r-s)(-2).

Answer 1

r(x)=x-6

s(x) = 2x²

(r + s)(x) = r(x) + s(x) = x - 6 + 2x² = 2x² + x - 6

(r*s)(x) = r(x)*s(x) = (x - 6)(2x²)

Using distributive property:

(r*s)(x) = 2x³ - 12x²

(r - s)(-2) = r(-2) - s(-2) = (-2-6) - 2(-2)² = -8 - 8 = -16