(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)#