g(x) = x - 4

Can you evaluate (g°f)(0)? Explain your why or why not.


Model answer:


To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

Respuesta :

Answer:

Step-by-step explanation:

For finding out g*f(x) we must have both the functions well defined.  Otherwise there is no way to find the composition function value.

Since we are to find (g°f)(0

we must have atleast the value of f(0)

Hence option b is correct

Since we are given only g(x) = x - 4 and no function f(x), hence we cannot evaluate the composite function  (g°f)(0).

Composite functions are functions that have a function inside another function.

  • For examaple, g(f(x)) is a composite function since f(x) is inside g(x)

  • From the definition, we can see that we need both the value of f(x) and g(x) to find the composite function g(f(x)) else, it cannot be determined.

From the question, since we are given only g(x) = x - 4 and no function f(x), hence we cannot evaluate the composite function  (g°f)(0).

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