If h of x is equal to 5 plus x and k times x is equal to 1 over x , which expression is equivalent to open paren k circ h close paren times x ?
A
5 plus open paren 5 plus x close parenB
5 plus open paren 1 over x close parenC
the fraction with numerator open paren 5 plus x close paren and denominator xD
the fraction with numerator 1 and denominator open paren 5 plus x close parenThe composition (k ∘ h)(x) means k(h(x)). Since h(x) = 5 + x and k(t) = 1/t, substitute 5 + x into k to get 1/(5 + x), which is choice B.
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