Inverse Functions
Addition
Subtraction
Multiplication and Division
Composite Functions
100
Find the inverse of {(2,-2) (4, 0) (6, -3) (-7, 2)}
{(-2, 2), (0, 4), (-3, 6) (2, -7)}
100
Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)+g(x) equals what?
What is What is 2x^2 + 4x + 2
100
Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)-g(x) equals what?
What is -2x^2 + 4x - 4
100
Let f(x)=4x-1 and g(x)=2x^2+3. Then f(x)*g(x) equals what?
What is 8x^3 - 2x^2 + 12x - 3
100
Let f(x)=3x^2+2 and g(x)=2x. Then (f o g)(x) equals what?
What is 12x^2 + 2
200
State if the given functions are inverses, show all work. f(n) = 2(n-2)^3 g(n) = 2 + 1/2(4n)^(1/3)
Yes
200
Let f(x)=-3x+2 and g(x)=5-x. Then f(x)+g(x) equals what?
What is -4x + 7
200
Let f(x)=4x-1 and g(x)=2x^2+3. Then g(x)-f(x) equals what?
What is 2x^2 - 4x - 4
200
Let f(x)=-3x^2 -x and g(x)=-2x -4. Then f/g(x) equals what?
3x^2 -x _______, x does not equal -2 -2x-4
200
Let f(x)=3x^2+2 and g(x)=2x. Then (g o f)(x) equals what?
What is 6x^2 + 4
300
Find the inverse of the given function, h(x)=(x)^(1/3) -3
(x+3)^3
300
Let f(x)=3x+5 and g(x)=x^2. Then f(x)+g(x) equals what?
What is x^2 + 3x + 5
300
Let f(x)=-3x+2 and g(x)=-2x^2+9. Then f(x)-g(x) equals what?
What is 2x^2 - 3x - 7
300
Let f(x)=2x^2+x-3 and g(x)=x-1. Then f(x)*g(x) equals what?
What is 2x^3 - x^2 - 4x +3
300
Let f(x)=3x and g(x)=2x+4. Then (f o g)(1) equals what?
What is 18
400
State if the given functions are inverses, show all work. g(x) = 4 - (3/2)x f(x) = (1/2)x + (3/2)
No, because fog(x) and gof(x) do not equal x.
400
Let f(x)=3x+5 and g(x)=x^2. Then 2f(x)+3g(x) equals what?
What is 3x^2 + 6x +10
400
Let f(x)=3x+5 and g(x)=x^2. Then f(x)-2g(x) equals what?
What is -2x^2 + 3x + 5
400
Let f(x)=x^2-5 and g(x)=3x+2. Then f(x)*g(x) equals what?
What is 3x^3 + 2x - 15x - 10
400
Let f(x)=3x and g(x)=3x^2 - 2x+4. Then (g o f)(x) equals what?
What is 27x^2 + 12x + 5
500
Find the inverse of g(x) = 1/(x-1)
What is 1+ (1/x)
500
Let f(x)=x^2-5 and g(x)=3x+2. Then -2f(x)+g(x) equals what?
What is -2x^2 + 3x + 12
500
Let f(x)=2x^2+x-3 and g(x)=x-1. Then 2f(x)-3g(x) equals what?
What is 4x^2 - x - 3
500
Let f(x)=2x^2-5x-3 and g(x)=x-3. Then f/g(x) equals what?
What is 2x +1, x does not equal x.
500
Let f(x)=x^2 + 3x and g(x)=2x-2. Then (go f)(-2+x) equals what?
What is 2x^2 -2x -6
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