Operations
Composition (numbers)
Composition (variables)
Inverses or Not Inverses
Find the Inverse
Classifying Polynomials
100
Let f(x) = 2x-1 and g(x) = x+4.
(f+g)(1) is
What is 6
100
Let f(x) = 6x-3 and g(x) = 2x+4
f(g(1)) is
g(1) = 6
f(6) = 33
what is 33
100
Let f(x) = -2x and g(x) = 4x+7
f(g(x)) is
-2(4x+7)
-8x -14
What is -8x -14
100
f(x) = x+6
g(x) = -x-6
f(g(x)) = -x
g(f(x)) = -x-12
What is not inverses?
100
the inverse of
{(0, -1), (3,-4), (7, -8), (4, 6)}
What is
{(-1,0), (-4,3),(-8,7), (6,4)}
100
Classify the following polynomial by term
4x-5
What is binomial?
200
Let f(x) = 2x-1 and g(x) = x+4.
(f-g)(3) is
f(3) = 5
g(3) = 7
f(3) -g(3) = 5-7 = -2
What is -2?
200
Let f(x) = 6x-3 and g(x) = 2x+4
f(g(-1)) is
g(-1) = 2
f(2) = 9
What is 9?
200
Let f(x) = -2x and g(x) = 4x+7
g(f(x)) is
4(-2x) +7
-8x+7
What is -8x +7
200
f(x)=5x+2
g(x)=(x-2)/5
f(g(x)) = x
g(f(x)) = x
What are inverses?
200
The inverse of
{(-3,6),(-2, 5), (1, -3), (7, 12)}
What is
{(6,-3),(5, -2), (-3, 1), (12,7)}
200
Classify the following polynomial by degree
2x^2+3x-2
What is quadratic?
300
Let f(x) = 2x-1 and g(x) = x+4.
(f*g)(2) is
f*g (2) = 18
What is 18?
300
Let f(x) = 6x-3 and g(x) = 2x+4
f(g(5)) is
g(5) = 14
f(14) = 81
What is 81?
300
Let f(x) = -(x2-2) and g(x)= -3x+1
g(f(x)) is
-3(-(x2-2))+1
3x2-6+1
What is 3x2-5
300
f(x)=-3x+9
g(x)=-1/3x-3
f(x) and g(x) are
f(g(x)) = x+18
g(f(x)) = x-6
What are not inverses?
300
the inverse of
f(x) = 3x+1
f-1(x) = x/3 - 1/3
300
Classify the following polynomial by degree and term.
-3x^4+5x^2-17x+9
What is quartic polynomial?
400
Let f(x) = 12x and g(x) = 3x
(f/g)(x) is
what is 4
400
Let f(x) = -4x+8 and g(x) = 3x+1
f(g(-2)) is
g(-2) = -5
f(-5) = 28
What is 28?
400
Let f(x) = -(x2-2) and g(x)= -3x+1
f(g(x)) is
-((-3x+1)2 - 2) = -(9x2-6x+1 -2)
What is -9x2+6x+1?
400
f(x) and g(x) are
f(g(x)) = x
g(f(x)) = x
What are inverses?
400
The inverse of
f(x) = -5x-7
f-1(x) = -(x+7)/5
400
The maximum number of terms a cubic polynomial can have.
What is 4 terms?
500
Let f(x) = 2x-1 and g(x) = x+4.
(f-g)(x)
2x-1 -x-4
x-5
What is x-5?
500
Let f(x) = -4x+8 and g(x) = 3x+1
g(f(13)) is
f(13) = -44
g(-44) = -131
What is -131?
500
Let f(x) = x2+10 and g(x) = x2- 4
f(g(x))
(x2-4)2+10
x4-8x2+16 +10
What is x4-8x2+26
500
f(x) and g(x) are
f(g(x)) = x
g(f(x)) = x
What are inverses?
500
The inverse of
y=(x+3)2
f^-1(x)=-3+-sqrtx
500
The minimum degree a trinomial can have.
What is 2?