Pre Calculus Practice Problems

What is the domain of the function given in the problem?

What is the equation of the line containing the points (2, 1) and (1, 3)?

What is the simplified form of the difference quotient for f(x) = 2x^2 - 3?

What is the solution to the inequality 2x - 2 > 3(x + 2)?

What is the average rate of change of the function f(x) = 3x^2 - 1 on the interval [1/2, 2]?

What type of model best describes the number of miles N on the car's odometer after x days?

What is the value of x in the equation log(102x) = 12?

What is the value of the composite function (f ∘ g)(5) when f(x) = x + 1 and g(x) = 1/(x - 2)?

What is the inverse function of f(x) = 5 * 10^x?

What is the value of y(9) when y = 5 * a^x, y(0) = 5, and y(3) = 20?

What is the value of x in the equation log(x + 3) - log(x) = 1?

What is the value of the account after 10 years, assuming a continuous compounding rate of 2%?

What is the value of $sin(\cos^{-1}{\left( \frac{4}{5} \right)})$?

If $sin(45^{\circ}+30^{\circ}) = \frac{\sqrt{6} + \sqrt{2}}{2}$, what is the value of $sin(45^{\circ})$?

What is the domain of the function $f(x) = -2\ Sin(\frac{\pi}{2}x)$?

What is the value of $cos(\pi/3)$?

If $f(x) = 2 + Cos(\pi x)$, what is the range of $f(x)$?

What is the value of $tan(75^{\circ})$?