Question

if h(x)=5+c and k(h)=1/x, which expression is equivalent to (k•h)(x) a. (5+x)/x b.1/(5+x) c. 5+(1/x) d. 5+(5+x)

Answer 1

Answer:

A.  (5 + x) / x

Step-by-step explanation:

h(x) = 5 + x

k(h) = 1 / x

express the above to (k*h)(x)

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

= 1/x (5+x)

= 1 * (5 + x)

         x

= 1 (5 + x) = 5 + x

= 5 + x

      x

Answer 2

Answer:

A

Step-by-step explanation:

So we have the two functions:

$h(x)=5+x \text{ and } k(x)=1/x$

And we want to find:

$(k\cdot h)(x)$

This is the same as saying:

$(k\cdot h)(x)\\=k(x)\cdot h(x)$

Thus, substitute them for the equations:

$=k(x)\cdot h(x)\\=(\frac{1}{x})\cdot(5+x)$

Multiply:

$=\frac{5+x}{x}$

Therefore:

$(k\cdot h)(x)=\frac{5+x}{x}$

The answer is A.