Is the inverse a function? f(x)=(x+5)^3 yes no

To determine if the inverse of the function $f(x) = (x+5)^3$ is also a function, we need to check if the original function is one-to-one.<br /><br />A function is one-to-one if each input value corresponds to a unique output value. In other words, for any two different input values, their corresponding output values should also be different.<br /><br />Let's analyze the given function $f(x) = (x+5)^3$:<br /><br />1. The function $f(x) = (x+5)^3$ is a cubic function, which means it is a one-to-one function. This is because for any two different input values, their corresponding output values will also be different.<br /><br />2. Since the original function $f(x) = (x+5)^3$ is one-to-one, its inverse will also be a function.<br /><br />Therefore, the answer is: yes, the inverse of the function $f(x) = (x+5)^3$ is also a function.