Consider a linear function of the form f(x) = mx + b, where m and b are real numbers, and m ≠ 0.
a. explain why linear functions of this form always have an inverse that is also a function.
b. state the general form of a line that does not have an inverse.
c. what kind of function is the inverse of an invertible linear function (e. g., linear, quadratic, exponential,
logarithmic, rational)?
d. find the inverse of a linear function of the form f(x) = mx + b, where m and b are real numbers, and
m ≠ 0.