Let f(x) = x^2and g(x) = 5x. Find the composite. what is (f ∘ g)(x)?

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Answer 1 · 2018-04-05T02:10:43

See below.

To find the composite function, all we need to do is to replace the #x# in the initial expression, with that of the second.

To further explain, we are given these two functions:

#f(x)=color(blue)(x^2)#

#g(x)=color(red)(5x)#

We are asked to find the composite function of #(f ∘ g)(x)#.

So, with the above explanation, we should have this:

#(f ∘ g)(x)=(color(red)(5x))color(blue)(^2)#

Since the #^2# is affecting the entirety of #5x#, it will distribute to both, making it:

#(f ∘ g)(x)=5^2x^2#

#=> (f ∘ g)(x)=25x^2#