91Ó°ÊÓ

Find the inverse of one-to-one function. State the domain and the range of inverse function.$\left\{\left(-2,2\right),\left(-1,6\right),\left(0,8\right),\left(1,-3\right),\left(2,9\right)\right\}$

Determine the rate that represents the better deal. 8% compounded semi-annually or 7.9% compounded daily.

determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linear

function that models the data; for those that are exponential, find an exponential function that models the data.

Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. Verify your results using a graphing utility.

${\log }_4\left(x^2−9\right)−{\log }_4\left(x+3\right)=3$

Graph$y={\log }_{3}x$ using a graphing utility and the Change-of-Base Formula.

Find the exact value of the logarithm without using a calculator.

${\log }_{10}\left(\sqrt{10}\right)$

Find the inverse of one-to-one function $\left\{\left(-2,1\right),\left(-3,2\right),\left(-10,0\right),\left(1,9\right),\left(2,4\right)\right\}$. State the domain and the range of each inverse function.

Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b.

$\ln 1.5$

For the given functions f and g, find:

$a)f ∘  g b)  g ∘  gc)f ∘ f d)g ∘  f$

State the domain of each composite function.

$f\left(x\right)=3x+1, g\left(x\right)=x^2$

What rate of interest compounded annually is required to double an investment in 3 years?