Question

Is the inverse of the function shown below also a function? Explain your answer.

Answer 1

Example 5: If f(x) = 2x – 5, find the inverse. This function passes the Horizontal Line Test which means it is a onetoone function that has an inverse. y = 2x – 5 Change f(x) to y. x = 2y – 5 Switch x and y. Solve for y by adding 5 to each side and then dividing each side by 2.

Answer 2

a reference to the horizontal-line test

a statement that the function is one-to-one

the conclusion that the inverse is a function