Respuesta :

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.

The inverse of the function [tex]y = 2x - 5[/tex] is also a function

The function is given as:

[tex]y = 2x - 5[/tex]

The above function is a linear function.

For any linear function, the inverse of the function is also a function.

The above highlight means that:

The inverse of [tex]y = 2x - 5[/tex] is also a function

Read more about inverse functions at:

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