If H(x) = (x + 1)2 + 2(x + 1) – 3, what is the composition of f(x) and g(x) that results in H(x)?
Select one:
a. f(x) = x2 + 2x – 3 and g(x) = x + 1
b. f(x) = x2 – 3 and g(x) = x2 + 1
c. f(x) = x2 – 3 and g(x) = x2 + 1
d. Both A and B.

Question

If H(x) = (x + 1)2 + 2(x + 1) – 3, what is the composition of f(x) and g(x) that results in H(x)?
Select one:
a. f(x) = x2 + 2x – 3 and g(x) = x + 1
b. f(x) = x2 – 3 and g(x) = x2 + 1
c. f(x) = x2 – 3 and g(x) = x2 + 1
d. Both A and B.

solomonzelman · Answer

Can you find  $f\circ g$ in option B?

solomonzelman · Answer

(I don't have anything better to offer than evaluating $g\circ f$ and $f\circ g$ in each answer choice.

anonymous · Answer

think of it as $$H(x)=\heartsuit^2+2\heartsuit+3$$ what you replace $\heartsuit$ by to get the one you actually have ?

anonymous · Answer

ok actually it is $$H(x)=\heartsuit^2+2\heartsuit-3$$ but you get the idea i hope