How do you determine #f(g(x))# if #ƒ(x)=x(x + 1)# and #g(x)=x^2−1#?

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How do you determine #f(g(x))# if #ƒ(x)=x(x + 1)# and #g(x)=x^2−1#?

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Answer 1 · 2015-02-04T15:28:48

As you can have, for example, #f(3)# where, in your function, you set #x=3# you can do the same here; the only difference is that you do not have a number but na entire function #g(x)=x^2-1# to substitute.
You get:

#f(g(x))=f(x^2-1)=(x^2-1)[(x^2-1)+1]=#

#=(x^2-1)x^2=x^4-x^2#

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How do you determine #f(g(x))# if #ƒ(x)=x(x + 1)# and #g(x)=x^2−1#?

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