Question

If h(x) = 5 + x and k(X) =. 1/x which expression is equivalent to (kon)(x)?

Answer 1

Answer:

(5+x)/x

Step-by-step explanation:

Given

h(x)= 5+x

k(x)= 1/x

(koh)(x)=?

Here you multiply

1/x( 5+x)

5/x +x/x

5/x+1 or

5/x +x/x

(5+x)/x

Answer 2

For this case we have the following functions:

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

We must find $(k_ {0} h) (x)$:

By definition of compound functions we have to:

$(k_ {0} h) (x) = k (h (x)$

So:

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

Finally:

$(k_ {0} h) (x) = \frac {1} {5 + x}$

Answer:

$(k_ {0} h) (x) = \frac {1} {5 + x}$