Questions from General Calculus

Q: A function is given by a table of values, a graph

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. f(t) is your height at age t.

Q: Assume that f is a one-to-one function.

Assume that f is a one-to-one function. a. If f(6) = 17, what is f -1(17)? b. If f -1(3) = 2, what is f(2)?

Q: If f(x) = x5 + x3 + x,

If f(x) = x5 + x3 + x, find f -1(3) and f(f -1(2)).

Q: If g(x) = 3 + x + ex,

If g(x) = 3 + x + ex, find g-1(4).

Q: Temperature readings T (in °F) were recorded every two

Temperature readings T (in °F) were recorded every two hours from midnight to 2:00 pm in Atlanta on June 4, 2013. The time t was measured in hours from midnight. a. Use the readings to sk...

Q: The graph off is given. a. Why is f

The graph off is given. a. Why is f one-to-one? b. What are the domain and range of f -1? c. What is the value of f -1(2)? d. Estimate the value of f -1(0).

Q: The formula C = 5/9(F – 32),

The formula C = 5/9(F – 32), where F ≥ -459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function and interpret it. What is the...

Q: In the theory of relativity, the mass of a particle with

In the theory of relativity, the mass of a particle with speed is where m0 is the rest mass of the particle and c is the speed of light in a vacuum. Find the inverse function of f and explain its m...

Q: Find a formula for the inverse of the function. f

Find a formula for the inverse of the function. f(x) = 1 + 2 + 3x

Q: Find a formula for the inverse of the function. f

Find a formula for the inverse of the function. f(x) = 4x – 1/2x + 3