Complex Numbers
Solving Absolute Value and Radical Equations
Composition/Decomposition
Inverses
Polynomials
100
The complex conjugate of -3+5i.
What is -3-5i
100
Solve abs(2x-1)=11.
What is x = -5, 6 ?
100
Given f(g(x))=5/3x, what are f(x) and g(x)?
What is f(x)=5/x and g(x)=3x
100
State the inverse of f(x) = x/2.
What is 2x
100
How many zeros in f(x)=x^6 +3x +1 ?
What is 6?
200
The modulus (absolute value) of 7-3i.
What is sqrt(58)?
200
Solve abs(4x+2)=-3.
What is no solution?
200
Given f(x)=2x and g(x)=x^2, compose g(f(x)).
What is 4x^2?
200
State the inverse of f(x)=4x-1.
What is (x+1)/4 ?
200
Solve (x^2 +2x-1)/(x+2). What is the remainder?
What is -1?
300
Simplify (4-2i)-(-2+i)(1+5i).
What is 11+7i
300
Solve sqr(x-2)=4
What is 18?
300
Given f(x)=3x+1 and g(x)=1/x, compose f(g(x)) and state the domain.
What is 3/x +1 ? Domain: x cannot equal 0
300
What is the equation of the line that an inverse function reflects over?
What is y=x ?
300
What are the zeros of f(x)=(x+2)(x-1)(x^2+4)?
What is -2, 1, 2i and -2i ?
400
Simplify (9-2i)/(5-i).
What is (47-i)/26
400
Solve x+4=sqr(6x+15)
What is -1?
400
Given f(x)=x^2 and g(x) = 2x-7. Solve f(g(-1)).
What is 81?
400
Is f(x)= x^5 +x^3 -2x +1 one to one? Why or why not?
What is no it does not pass the horizontal line test ?
400
Find the rational zeros of h(x)=x^3-9x^2 +20x-12.
What is 1, 2, 6 ?
500
Simplify (6+3i)(7-i)/(3+7i)
What is (120-135i)/29
500
Solve sqr(71-7x)=x-11.
What is no solution?
500
Given f(x)=3x, g(x)=2x^2 +1, and h(x)=x-1. Solve f(g(h(-2))).
What is 57?
500
State the inverse of f(x)=(3x+4)/5 ?
What is g(x) =(5x-4 )/3
500
Find all the zeros f(x)=2x^3 - 5x^2 +12x - 5 ?
What is 1+2i, 1-2i and 1/2 ?
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