Precalc Final- Review

Logs/Exponents

100

Solve for x:

7^2x=12

What is, x=.638

200

Solve for x:

2log(x)-log(4-3x)=0

What is, x=1

300

Solve for x:

log₅(30x)=log₅(x+1)+2

What is, x=5

Rational Fcns/Equations

100

Find the coordinates of the hole:

f(x)=x²+7x+10 /2x²-50

What is, (-5,3/20)

200

Find all intercepts, asymptotes, and holes.

f(x)=x²-8x-9 / 2x²-2

What is:

VA: x=1

HA: y=1/2

x-int: (9,0)

y-int: (0,4.5)

Hole: (-1,2.5)

300

Solve for x:

1/x + 1/(x+5) = 5

What is, x=0.208 and x=4.808

Inverses

100

Find f(g(x)), given f(x)=x²-2 and g(x)=2x

What is, f(g(x)=4x²-2

200

Find f(g(x)), given f(x)=(5x-3)/(x-1) and g(x)=(x-3)/(x-5)

What is, f(g(x))=x

300

Find f^-1(x), given f(x)=log10 + log (x²)

What is, 

y=10^(x-1)/2

OR y=(10^x/10)^1/2

Long Division

100

Simplify:

(x³-6x²+11x-6)/x-1

What is, x²-5x+6