Question

If h(x) = 5 + x and k (x) = StartFraction 1 Over x EndFraction, which expression is equivalent to (k circle h) (x)?\

A: StartFraction (5 + x) Over x EndFraction
B: StartFraction 1 Over (5 + x) EndFraction
C: 5 + (StartFraction 1 Over x EndFraction)
D: 5 + (5 + x)

Answer 1

B: (k circle h)(x) = StartFraction 1 Over (5 + x) EndFraction

Explanation:

To find the expression that is equivalent to (k circle h)(x), we first need to find k(h(x)).

k(h(x)) = k(5 + x) = 1/(5 + x)

Therefore, the expression that is equivalent to (k circle h)(x) is 1/(5 + x), which is option B:

(k circle h)(x) = StartFraction 1 Over (5 + x) EndFraction