Question

the graph of the invertible function ggg is shown on the grid below.

What is the value of g^-1(7)

Answer 1

Answer:

$g^{-1} (7)=5$

Step-by-step explanation:

We are asked to find $g^{-1} (7)$.

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair $(a,b)$ of function $g$, then the corresponding ordered pair of $g^{-1}$ would be $(b,a)$.

As we are asked to find $(7,b)$ of  $g^{-1}$, we can instead find $(b,7)$ of $g$.

This means that we are looking for where $g(b)=7$.

From the graph, we can see that for this to be true, $b=5$

This means that $g^{-1} (7)=5$

Answer 2

The value of g^-1(7) is 5.

What is the value of g^-1(7)?

What is invertible function?

A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.

Given that:

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).

As we are asked to find (7,b)  of  g^-1, we can instead find (b, 7) of g .

This means that we are looking for where  g(b)=7.

From the graph, we can see that for this to be true, b=5.

So, the value of g^-1(7) is 5.

Learn more about invertible function here:

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