Suppose the function r and s are defined for all real numbers x as follows

Question

Suppose the function r and s are defined for all real numbers x as follows

r(x)=x+2

s(x)=3x^2

write the expressions for (r.s)(x) and (r+s)(x) and evaluate (r-s)(-1)

(r.s)(x)=

(r+s)(x)=

(r-s)(-1)=

Answer 1

(r.s)(x)=(3x²)+2

(r+s)(x)=(x+2)+(3x²)

(r-s)(x)=(x+2)-(3x²) ⇒ (r-s)(-1)=(-1+2)-(3*(-1)²)=1-3=-2