What is the inverse of an exponential function?

Answer 1

The inverse of an exponential function is a log function. For example, the inverse of f(x) = ax is f-1(x) = logax. "a" is called the base of the exponential and log functions.

Answer 2

Directions. Identify what is asked based on the given definition. Refer to Chapter 1

to look for answers. Write your answers on the space provided before each

number.

____1. It is an inverse of an exponential function and is defined by the

equation f(x) = logax.

____2. It is defined by the equation f(x) =

g(x)

h(x)

wherein g(x) and h(x) are

both polynomial functions.

____3. It is a rule that relates values from a set of values (called the domain)

to a second set of values (called the range).

____4. A type of test used to determine if the graph represents a function.

____5. It is a function whose definitions involve more than one formula.

____6. It is a relation where each element in the domain is related to only

one value in the range by some rule.

____7. It is a special polynomial function and defined by the equation f(x) =

c, where c ∈ R. In this function, each x value corresponds to one and only one y

value. The graph of which is a horizontal line.

____8. It is defined by the equation f(x) = a

x where a ≥ 0 and a ≠ 1.}

____9. It is defined by the equation √g(x)

n wherein g(x) is a polynomial

function and n is a non-negative integer greater than 1.

____10. It is a function that can be expressed in the form of a polynomial.