Question

If h(x)=x³-4x+3, what is the value of h(h(2))? Answer: How do l enter a student-produced response on the SAT?

Answer 1

To find the value of h(h(2)), substitute 2 into h(x) to find h(2), then substitute the value of h(2) into h(x) again to find h(h(2)).

Step-by-step explanation:

To find the value of h(h(2)), we need to first find the value of h(2). Substitute x = 2 into the function h(x) = x³ - 4x + 3:

h(2) = (2)³ - 4(2) + 3

Simplify the expression:

h(2) = 8 - 8 + 3

h(2) = 3

Now, substitute h(2) = 3 into the function h(x) again:

h(h(2)) = h(3) = (3)³ - 4(3) + 3

Simplify the expression:

h(h(2)) = 27 - 12 + 3

h(h(2)) = 18