Question

Let x represent the temperature in degrees Celsius, and

let f(x) represent the temperature in degrees Fahrenheit.
Does this function have an inverse function?

Answer 1

Yes, the function has an inverse function.

Step-by-step explanation:

The function that converts Celsius to Fahrenheit is represented by the equation f(x) = (9/5)x + 32. To determine if the function has an inverse, we need to check if it passes the horizontal line test. Since the equation represents a straight line, it is a one-to-one function and has an inverse function. The inverse function, denoted as f-1(x), can be found by solving the equation for x: x = (5/9)(y - 32).