Answer: second and third graph
Step-by-step explanation:
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The functions whose inverse is a function is represented by Graph B.
A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain, domain is all the value a function can have as an input and range is all the value that a function can have.
The image shows two functions,
The first is a radical function and the other is an exponential function.
To check if the inverses of the function is also a function, the function should follow horizontal line test or the inverse should follow vertical line test.
Horizontal line test is used to determine if the function has an inverse and also that the inverse is a function.
A horizontal line is drawn and if the horizontal line intersects the graph at more than one points then the inverse is not a function.
For graph 1, if a horizontal line is drawn at y = -2, it has two values, and so the inverse will not be a function.
For graph 2, if a horizontal line is drawn at y = 4, it has one value, at y= 2 , it has one value, so the inverse of this graph will be a function.
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