Math 3 Review

Reese is solving the equation  $\log_{2x}291=8$  . Which exponential equation can she use to solve the problem?

 $3^x-5=27$  

Solve for x. Round your answer to the nearest thousandth.

 $\frac{a^2-11a+18}{72+a-a^2}$  

Simplify.

If $\left(2x-3y\right)^2=ax^2+bxy+cy^2$  , what are the values of a, b, and c?

What is the inverse of $y=\frac{\left(2x+4\right)}{8}$  

What is the range of the function: f(x) = -|x + 3| + 2

Describe how the function $y=2^x$  is transformed to make  $y=2^{\left(x-5\right)}+3$  

You start on the unit circle at (0, -1) and move 300° counterclockwise. Which angle (in degrees) will you end up on the unit circle?

Which function does NOT have the set of all real numbers as its domain?

Which interval is decreasing? (2 answers)