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Adding Functions
Subtracting Functions
Multiplying Functions
Dividing Functions
Composing Functions
100
Add f(x) = 2x + 5 and g(x) = -5x - 11
-3x - 6
100
Subtract f(x) = 7x + 30 and g(x) = 6x + 5
x + 25
100
Multiply f(x) = 2x and g(x) = 4x^2 + 7
8x^3 + 14x
100
Factor: f(x) = x^2 - 11x + 18
(x - 9)(x - 2)
100
A composition of functions is when...
The output of one function becomes the input of another functions
200
Add f(x) = 15x + 12 and g(x) = 21x - 4
36x + 8
200
Subtract f(x) = 5x + 2 and g(x) = 22x - 9
-17x + 11
200
Factor f(x) = 5x^2 - 18x + 9
(5x - 3)(x - 3)
200
Let f(x) = 2x - 8 and g(x) = 4x - 1. Find f(g(x))
f(g(x) = 8x - 10
300
add f(x) = x^2 + 7x - 8 and g(x) = 10x - 9
x^2 + 17x - 17
300
Subtract f(x) = 4x^2 - 9 and g(x) = 3x + 2
4x^2 - 3x - 11
300
Multiply f(x) = (x + 9) and g(x) = 4x - 1)
4x^2 + 35x - 9
300
Divide f(x) = x^2 + 2x - 15 and g(x) = x^2 -10x + 21
(x + 5) / (x - 7)
300
Let f(x) = 4x^2 + 5 and g(x) = 6x - 10. Find g(f(x))
24x^2 + 20
400
Add f(x) = -5x^2 - 4x + 19 and g(x) = -2x^2 + 11x - 5
-7x^2 + 7x + 14
400
Subtract f(x) = 4x - 9 and g(x) = 2x^2 - 8x + 1
-2x^2 + 12x - 10
400
Multiply f(x) = (2x^2 - 8x) and g(x) = (5x^2 + 7)
10x^4 - 40x^3 + 14x^2 - 56x
400
Divide f(x) = x^2 + x - 30 and g(x) = x^2 + 12x + 36
(x - 5) / (x + 6)
400
Let f(x) = 9x - 15 and g(x) = x + 7. Find f(g(x))
9x + 48