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
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