Question

If f (x)=x2and g(x)=x+6find g(f(0))

Answer 1

Answer:

g(f(0)) = 6

Step-by-step explanation:

Evaluate f(0 ) and substitute this value into g(x)

f(0) = 0² = 0 and

g(0) = 0 + 6 = 6

⇒ g(f(0)) = 6

Answer 2

The value of g(f(0)) is 6.

Definition of g(f(x)) -

If two functions f(x), g(x) are present , then (f o g) of x is also known as a composite function and it is mathematically denoted as f(g(x)) or (f ∘ g)(x). It means that x = g(x) should be substituted in f(x). It is an operation that combines two functions to form another new function.

How to find the value of g(f(0)) as given in the question ?

Given , f(x) = $x^{2}$  and  g(x) = x + 6

We have to find g(f(0)).

To get the value of this composite function g(f(x)), we first have to find the value of f(x) at the given value x = 0 and then substitute the value of f(x) into g(x).

⇒ f(0) = 0.

∴ g(f(0)) = g(0) = 0 + 6 = 6.

Therefore we have the value of g(f(0)) as 6.

To learn more about composite functions, refer -

https://brainly.com/question/10687170

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