Exam 6: Exponential and Logarithmic Functions

Find a formula for the inverse of the function described below. -An organization determines that the cost per person of chartering a bus is given by the formula where x is the number of people in the group and C(x)is in dollars.

The function f is one-to-one. Find its inverse. -

Graph the function. -

Solve the equation. -

The graph of a one-to-one function f is given. Draw the graph of the inverse function f as a dashed line or curve. -

Solve the problem. -The rabbit population in a forest area grows at the rate of 6% monthly. If there are 210 rabbits inSeptember, find how many rabbits (rounded to the nearest whole number)should be expected by nextSeptember. Use

Indicate whether the function is one-to-one. -{(14, -17), (13, -6), (-16, -2)}

Determine i)the domain of the function, ii)the range of the function, iii)the domain of the inverse, and iv)the range of the inverse. -

Find the exact value of the logarithmic expression. -

Change the exponential expression to an equivalent expression involving a logarithm. -

For the given functions f and g, find the requested composite function value. - ; Find (g ∘ g)(1).

Find the inverse of the function and state its domain and range . -{(7, 2), (5, 3), (3, 4), (1, 5)}

For the given functions f and g, find the requested composite function. -f(x)= 3x + 8, g(x)= 3x - 1; Find (f ∘ g)(x).

The graph of a one-to-one function f is given. Draw the graph of the inverse function f as a dashed line or curve. -f(x)= 4x

Find the exact value of the logarithmic expression. -

Solve the equation. -

Approximate the value using a calculator. Express answer rounded to three decimal places. -

The function f is one-to-one. Find its inverse. -f(x)=

The function f is one-to-one. Find its inverse. -

Evaluate the expression using the values given in the table. -