PreCalc Recap

Exponents

100

Simplify the following 

sqrt(x)/x

x^-1/2

300

Simplify the following 

(5a^2/3)(4a^3/2)

20a^13/6

500

Rewrite the following in exponential form. 

fifithrt(x³) + fourthrt(2x)

x^3/5 + (2x)^1/4

Trig

100

sec(pi/2)

undefined

300

Solve the following for 0 to 2pi. 

sinx = 1/2

pi/6   and 5pi/6

500

Solve the following for 0 to 2pi.

cos(x/2) = sqrt(3)/2

pi/3 & (11pi/3)

Logs/Exp

100

e^ln(x)

x

300

Rewrite as an exponential to solve.

log₃(1/3) = x

x = -1

500

Solve the following.

e^2x=1

x=0

Rational Functions

100

Find the domain of the following function. 

(x+6)/(x²-7x+12)

(- infinity, 3) (3, 4) (4, infinity)

300

Idenitfy the holes or V.A.'s in the following functions.

(x²-5x+6)/(x²-4)

Hole at x = 2 

VA at x = -2

500

Refer to Picture to find the

Domain: 

Range: 

H.A. 

V.A.

Refer to Slide

Functions

100

Write the equation of the line. (Point Slope Form)

y-y₁=m(x-x₁)

m=-3/2.   f(-5)=7.

y - 7 = 3/2(x + 5)

300

Given f(x) = x² - 2x +5

Find f( x + 2) = 

x² +2x + 5

500

Given g(x) = sqrt(x+3) & f(x)= x² +5, find g(f(7)) = 

sqrt(51)