If f (x)+x^2 +1 and and g(x) = x-2, find [f.g](x) ?

Question

a. x^2 -4x+5

b. x^2-1

c. x^2 -3

d. x^3 -2x^2 +x-2

Answer 1

f(x) = x^2+1 (error in your question)

g(x) = x-2

f.g(x) = f(g(x)) = f(x-2)

= x^2+1-2 = x^2-1

b. x^2-1

Answer 2

If f (x)=x^2 +1 and and g(x) = x-2, find [f.g](x)

I assume f.gmeans f times g. If so answer is d. x^3 -2x^2 +x-2

Answer 3

f (x)=x^2 +1 and and g(x) = x-2

f.g(x) = [g(x)]^2 + 1

   = (x-2)^2+1

   = x^2 - 8x + 4 + 1

   = x^2 - 8x + 5