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Functions
Logarithms
Solving Equations
Inverses
Rational Functions
100

Find the equation of the line going through the points (-1, 2) and (1, 4).

y=x+3

100
The exponential form of 3 = log2 8.
What is 2^3 = 8?
100

x^2 + 2x + 5 = 0

What is -1 + 2i and -1 - 2i?

100

True of False.

If two functions, f(x) and g(x), are inverses, then f(g(x))=g(f(x))=x.

True.
100

What is the domain of the rational parent function?

(-inf, 0)U(0, inf)

200
f(x) = 3x + 2 and g(x) = x - 1 then fg(x) = _________.
What is 3x^2 - x - 2
200
Logarithmic form of x^2 = 625
What is logx 625 = 2
200

logx+log7=log37

What is 37/7?

200
f(x) and g(x) are inverses. The domain of f is (-1, 3] and the range of f is [-2, 7]. What is the domain of g(x)?

[-2, 7]

200

A hole is classified as what type of discontinuity? 

Removable discontinuity.

300

If f(x)=-2x+1 and g(x)=sqrt(x^2-5), find g(f(x)).

2sqrt(x^2-2x-1)

300
f(64) if f(x) = log4 x.
What is 3.
300

Exponential Equation (Calculator permitted).

6^(x+2)=12

What is -0.61314
300
f(x) = 3x + 2 and g(x) = x - 1 then g^-1(x) = _________. (Find the inverse)
What is y = x + 1
300

What is the domain of the function?

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

(-inf, -3)U(-3, inf)

400

f(x) = -4x+2 and g(x)=sqrt(x-8), find f(g(12))?

What is -6?

400
4 log (x - 2) - 3 log x written as a single log.
What is log (x - 2)^4/x^3
400

x/(x+3) + 1/x = 1

What is 3/2?

400

Find the inverse of f(x)=(7x+18)/2.

f^-1(x)=(2x-18)/7

400

Find the HA of the function.

f(x)=(4x^2)/(5x^2-3)

4/5
500

If f(x) = x-1 and g(x) = x^2+2x-8, find g(f(3)).

0

500

4^(x+3) = 8

What is -3/2

500

x^3 + 5x^2 - 3x - 15

What is -5, -square root of 3 and +square root of 3

500

Find the inverse of f(x)=-2x^3+1

f^-1(x)=cuberoot of (-x+1)/2

500

Find the hole(s) of the rational function. 

f(x)=(x^2-4)/(x^2-x-6)

hole at the point (-2, 4/5)