Question

Given f(x)= x^2-3x+4, find f(x+2)-f(2).

Answer 1

f ( x+2) – f(2) = x² + x

Explanation:

f(x) = x² – 3x+4

f(x+2) = (x+2)² – 3 (x+2) +4

= ( x²+ 4x + 4) – 3x – 6 +4

= x² + 4x +4 – 3x – 6 + 4

= x² + x +2

f(x) = x² – 3x+4

f(2) = 2² – 3(2) +4 = 4 – 6 + 4 = 2

f ( x+2) – f(2) = (x² +x +2 ) – (2)

= x² + x +2 – 2

= x² + x

I hope I helped you^_^

Answer 2

X^2+x+2
Is that what you want