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How does the graph of an inverse function compare to the original function?
A. The inverse function is the original function reflected over the x-axis
B. The inverse function is the original function reflected over y=x
C. The inverse function is the original function reflected over y=-x
D. The inverse function is the original function reflected over the y-axis


Sagot :

Answer:

C. The inverse function is the original function reflected over y=-x

hope it helps :)

The inverse function is the original function reflected over y=x option (B) 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.

We have a statement:

The graph of an inverse function compare to the original function:

As we know, every function with domain real numbers can be plotted on graph paper or a coordinate plane.

Let f(x) = ax + b

or

y =ax + b

a and b are the real numbers

To find the inverse of a function interchange the value of x and y

f⁻¹ = x = ay + b

If we plot the above two functions we will see that f(x) is the mirror image of f⁻¹ over the line y = x.

Thus, the inverse function is the original function reflected over y=x option (B) is correct.

Learn more about the function here:

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