(k o h)? $k(x) = 1/x, h(x) = x^2 + 1$ Find the indicated functions.

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Answer 1 · 2017-03-23T16:09:28

$k(h(x)) = 1/(x^2+1)$

Given: $k(x) = 1/2, h(x)=x^2+1$

Find (k o h)

I find helpful to write (k o h) as $k(h(x))$

This makes it obvious that what you must do is substitute $h(x)$ for $x$ in the function $k(x)$ as follows:

$k(x)=1/x$

$k(h(x)) = 1/(h(x))$

Now substitute $x^2+1$ for $h(x)$

$k(h(x)) = 1/(x^2+1)$

(k o h)? k(x) = 1/x, h(x) = x^2 + 1k(x) = 1/x, h(x) = x^2 + 1 Find the indicated functions.