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Which of the following is true for the relation f(x)=x^2+8

Which of the following is true for the relation f(x)=x^2+8-example-1

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Answer: Both the equation and its inverse are functions.

Step-by-step explanation

Given the equation:


f\mleft(x\mright)=x^2+8

we can use the vertical line test to determine if it is a function:

As no vertical line touches the graph, then it is a function. Additionally, the inverse function can be calculating by interchanging the x and y variables in the original function:


x=y^2+8
x-8=y^2
y=√(x-8)

If we do the same vertical test for the inverse function we will see that both are function.

Which of the following is true for the relation f(x)=x^2+8-example-1
Which of the following is true for the relation f(x)=x^2+8-example-2
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