if (h(x)=5 + x) and (k(x)=\frac{1}{x}), which expression is equivalent to ((kcirc h)(x))?\n(\frac{(5 +…

if (h(x)=5 + x) and (k(x)=\frac{1}{x}), which expression is equivalent to ((kcirc h)(x))?\n(\frac{(5 + x)}{x})\n(\frac{1}{(5 + x)})\n(5+left(\frac{1}{x}\right))\n(5+(5 + x))

if (h(x)=5 + x) and (k(x)=\frac{1}{x}), which expression is equivalent to ((kcirc h)(x))?\n(\frac{(5 + x)}{x})\n(\frac{1}{(5 + x)})\n(5+left(\frac{1}{x}\right))\n(5+(5 + x))

Answer

Explanation:

Step1: Recall composition of functions

The composition ((k\circ h)(x)=k(h(x))).

Step2: Substitute (h(x)) into (k(x))

Given (h(x)=5 + x) and (k(x)=\frac{1}{x}), we substitute (h(x)) into (k(x)). So (k(h(x))=\frac{1}{h(x)}).

Step3: Replace (h(x)) with its expression

Since (h(x)=5 + x), then (k(h(x))=\frac{1}{5 + x}).

Answer:

(\frac{1}{(5 + x)})