SUM
Given: f(x)= x^2 - 2x
g(x)=3x - 4
Find the function for (f+g)(x)
Description: Start with adding f(x) and g(x)
You get: (x^2 -2x) + (3x -4) = x^2 +1x -4
Given: f(x)= x^2 - 2x
g(x)=3x - 4
Find the function for (f+g)(x)
Description: Start with adding f(x) and g(x)
You get: (x^2 -2x) + (3x -4) = x^2 +1x -4
DIFFERENCE
Given: f(x) = x^2 - 2x
g(x) = 3x - 4
Find the function for (f-g)(x)
Description: Start by subtracting f(x) and g(x)
You get: (x^2 -2x) - (3x-4).
Remember to distribute the negative.
You get x^2 - 5x + 4
Given: f(x) = x^2 - 2x
g(x) = 3x - 4
Find the function for (f-g)(x)
Description: Start by subtracting f(x) and g(x)
You get: (x^2 -2x) - (3x-4).
Remember to distribute the negative.
You get x^2 - 5x + 4
PRODUCT
Given: f(x) = x^2 -2x
g(x) = 3x -4
Find the function for (f*g)(x)
Description: Start by multiplying f(x) and g(x)
You get (x^2-2x)(3x-4) = 3x^3 - 10x^2 + 8x
Given: f(x) = x^2 -2x
g(x) = 3x -4
Find the function for (f*g)(x)
Description: Start by multiplying f(x) and g(x)
You get (x^2-2x)(3x-4) = 3x^3 - 10x^2 + 8x
QUOTIENT
Given: f(x) =x^2 - 2x
g(x) = 3x - 4
Find the function for (f/g)(x)
Description: Start by dividing f(x) by g(x)
You get -2x + 1 / x(x-2)
g(x) = 3x - 4
Find the function for (f/g)(x)
Description: Start by dividing f(x) by g(x)
You get -2x + 1 / x(x-2)