Pre-Calculus Review!

Exponents

100

Simplify 

(6x²)(2x⁵)

12x⁷

300

Simplify 

(2y^1/2)⁴

16y²

500

10x^-4y³/2x^-2y^-2

5y⁵/x²

Composite/Inverse Functions

100

Let f(x) = -3x²+1 and g(x) = |x|. 

Solve g(f(2)).

g(f(2))=11

300

Find the inverse of the function below. 

f(x) = (x²+7)/3

f^-1(x)=(3x-7)^1/2

500

Find (f(x+h) - f(x))/h given that 

f(x) = 3x-5.

3

Lines

100

Find the x and y intercepts of the below function. 

f(x) = 3x-7

x: (7/3, 0)

y: (0, -7)

300

Determine the equation of a line with points (-2, 5) and the slope of 3. 

y- 5= 3(x-2)

f(x) = 3x-1

500

Find the equation of a line that is perpendicular to the line f(x)=3x-2 and passing through the point (3, 9).

y-9 = 1/3(x-3)

f(x) = 1/3x+8

Trig

100

Convert 30 degrees to radians.

pi/6

300

What is cos(pi/6)?

Root(3)/2

500

What is sin(7pi/4)?

root(2)/2

Exponential and Logarithmic Functions

100

What is ln(e)?

1

300

What is log₃81?

4

500

Simplify the following 

log₄32 + log₄2

3