Nth Roots & Rat. Exp
Function Operations
Inverse Operations
Graphs
Radical Equations
100
X^3=8
What is 2?
100
The domain must be all real numbers except zero.
What is when there is an x in the denominator.
100
switch x and y
What is finding the inverse
100
parent graph starts at (0,0) Domain x>or =0.
What is square root graph.
100
(square root)(3x+7)=4
What is x=3?
200
27^(2/3)
What is 9?
200
All non-negative include zero and all positive do not include zero.
What is the difference between domains non-negative and positive.
200
Determining if the inverse is a function.
What is horizontal line test.
200
Domain and range are all real numbers for parent graph.
What is cube root graph.
200
(sq. root)(3x)=(sq root)(x+6)=0
What is x=3?
300
4th root of 125 falls between which two consecutive integers.
What is 3 and 4?
300
Composition
What is f(g(x))?
300
Inverse of f(x)=3x+1.
What is y^-1=(x-1)/3
300
y=-4(sq root)(x-5) +1 What is the affect of the minus 5 in the problem on the domain.
What is shift the domain to the right 5 units so the domain will be x greater or equal to 5.
300
When the answer you solved for does not work in the original equation to make a true statement.
What is an extraneous solution?
400
(3rd root)(64x^4y^2)
What is 4x(3rd root)(xy^2)?
400
In the math problem f(x) = 3x-8 and g(x) 2x^2 f(g(5)) .
What is 118?
400
inverse of f(x)=x^3-2
What is y^-1=cube root(x+2)?
400
When the number under the radical with the x is a positive, what affect does it have on the domain of a square root problem.
What is the domain for a square root functionwill be negative.
400
3x^(3/4)=24
What is 16?
500
25(5th root)2 - 15(5th root)2
What is 10(5th root)(2)?
500
What would g(x)/f(x) be. Include the domain in your answer. f(x) = 3x-8 and g(x) 2x^2
What is 2x^2/3x-8 Domain: x can not = 8/3
500
f(g(x)) =x and g(f(x))=x
What is verifying that f and g are inverses of each other.
500
The number in front of the radical stretches or shrinks the graph. It will also flip the graph if it is negative.
What is number in front of the radical represent?
500
(cube root)(12x-5) - (cube root)(8x+15) =0
What is 5?
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