The values in the table define the function f(x). If g(x) is the inverse of f(x), what is the value of g(1)? x f(x) -1 -3 1 -1 4 1 6 4 7 6 A. 1 B. 2 C. 3 D. 4 E. 5

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30-06-2022
Mathematics

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The values in the table define the function f(x). If g(x) is the inverse of f(x), what is the value of g(1)? x f(x) -1 -3 1 -1 4 1 6 4 7 6 A. 1 B. 2 C. 3 D. 4 E. 5

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maheshpatelvVT maheshpatelvVT · Answer 1 · 2022-07-02T02:43:52-04:00

The value of g(1) is 4 because (x, y) satisfy the function f(x) then (y, x) will satify the function g(x) option (D) 4 is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know if the f(x) has inverse function g(x)

Let (x, y) satisfy the function f(x) then (y, x) must satify the function g(x)

f(x) has ordered pair = (4, 1)

Then g(x) has (1, 4)

g(1) = 4

Thus, the value of g(1) is 4 because (x, y) satisfy the function f(x) then (y, x) will satify the function g(x) option (D) 4 is correct.

Learn more about the function here:

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What is a function?

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