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Given the functions f and g below, find f(g(0)).

Given The Functions F And G Below Find Fg0 class=

Sagot :

After calculation, the composite function f(g(0)) returns the value 2 as the response.

Given, the values of the functions are:

f(x) = √₋x₊1 and g(x) = ₋x₋3

we need to find f(g(0)) = ?

F of g of x is another name for a composite function. Normal representations include f(g(x)) or (f g)(x), which denote that x = g(x) should be used in place of f(x). While the function g (x) is referred to as an inner function, the function f (x) is referred to as an outer function.

It means that every instance of an x in the function f is replaced with the function g(x).

∵ g(x) = ₋x₋3  so we can substitute this in the following expression:

  g(0) = -(0) ₋ 3

    g(0) = ₋3

Now in place of g(0) we can write ₋3, hence the changed expression becomes:

f(g(0)) = f(₋3)

          = √₋(₋3)₊1

          = √4

∴ f(g(0)) = 2

Hence we get the calculated function value as 2.

Learn more about "Functions" here-

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