Question

HELP If (f + g)(x) = 3x2 + 2x – 1 and g(x) = 2x – 2, what is f(x)?

a)3x^2+1

b)3x^2-1

c)3x^2+4

d)3x^2-4

e)x^2-2

Answer 1

`(f+g)(x)=f(x)+g(x)\to f(x)=(f+g)(x)-g(x)\\\\We\ have:\\\\(f+g)(x)=3x^2+2x-1\\g(x)=2x-2\\\\substitute\\\\f(x)=(3x^2+2x-1)-(2x-2)=3x^2+2x-1-2x+2=3x^2+1`

Answer: a)3x^2+1