Question

What are the restrictions of the domain of f(g(x))? x mc001-1.jpg -5 x mc001-2.jpg -3 x mc001-3.jpg 2 There are no restrictions.

Answer 1

Step-by-step explanation:

Step-by-step explanation:

I am explaining what domain is briefly and giving the most probable answer as the questions are not clear,

F of G of x

F of G of X is a composite function made of two functions f(x) and g(x). Let us understand f of g of x by a real-life example. In the process of preparing French fries, we use the slicer and the fryer. Let us assume that x is the potato, the slicer is doing the function g(x) (which is slicing the potato) and the fryer is doing the function f(x) (frying the potato). Then f of g of x represents the process of preparing french fries because:

First slice the potato - it means find g(x).

Then use the sliced potatoes in the fryer - i.e., use g(x) in f(x), which gives f of g of x.

Let us learn more about f of g of x along with its mathematical definition, domain, range, and how to find it in different scenarios.

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Answer 2

The given question involves composition of two functions f(x) and g(x) as f(g(x)). However, the functions f(x) and g(x) are not provided in the question. Instead, the values of x for which f(g(x)) is defined are given.

Based on the given values of x, we can say that there are no restrictions on the domain of f(g(x)). This is because all values of x (i.e., -5, -3, and 2) are in the domain of g(x), which means that g(x) is defined for all these values. Further, since there are no restrictions on the domain of g(x), there are no restrictions on the values that g(x) takes, which means that all values of g(x) are in the domain of f(x). Therefore, we can conclude that there are no restrictions on the domain of f(g(x)) in this case.

The composite function f(g(x)) is defined as the function obtained by applying the function f to the output of the function g.

In the given question, the values of x for which f(g(x)) is defined are given, and we need to determine if there are any restrictions on the domain of f(g(x)).

We are given that x can take three values: -5, -3, and 2. Let us assume that g(x) is defined as follows:

g(x) = x - 1

This means that g(x) takes x as input, subtracts 1 from it, and returns the result.

Now, we need to determine if there are any restrictions on the values that g(x) can take. In this case, there are no such restrictions, because the function g(x) is defined for all real numbers.

Therefore, for any value of x (i.e., -5, -3, and 2), we can find the corresponding value of g(x) as follows:

• g(-5) = -5 - 1 = -6
• g(-3) = -3 - 1 = -4
• g(2) = 2 - 1 = 1

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