Question

Find the composite function (fog)(x) given f (x) = x - 4 and g(x) = x² +1

Answer 1

x² - 3 is the composite function for f(g(x)).

   • Composite functions are functions in mathematics in which the output of one function is used as the input of other function.

   • In simpler words, a composite function is a function that is generally written inside another function.

   • The function g(x) is referred to as the inner function, whereas the function f(x) is referred to as the outer function.

We have:

F(x) = x – 4

G(x) = x^2 +1

The composite function will be:

= f(g(x))

= (x^2 + 1)-4

= x^2 + 1 – 4

= x^2 – 3

As a result, the composite function for f(g(x)) is x2-3.

Learn more about composite functions here.

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