Compositions
This is a composition of fucntions.
What is a combination of two functions?
This is how to add or subtract polynomials.
What is by combining like terms?
This is how to multiply polynomials.
What is by using FOIL or the distributive property?
An inverse function is mirrored over this line.
What is y=x?
This is how you create a composition of functions.
What is the output of one function is used as the input of another function?
If f(x) = x + 1 and g(x) = 2x, this is f(x) + g(x).
What is 3x + 1?
This is (x)(x + 1)
What is x^2 + x?
This is the definition of an inverse function.
What is swapped input (x) and output (y)?
If f(x) = 2x and g(x) = x + 2, this is f(g(x)).
What is 2(x + 2)?
If f(x) = 3x + 5 and g(x) = -2x + 1, this is g(x) - f(x).
What is -5x - 4?
This is (x + 1)(x + 1)
What is x^2 + 2x + 1?
This is the inverse of f(x) = 3x.
What is f-1(x) = 1/3x?
If f(x) = 3x + 5 and g(x) = -2x + 1, this is g(f(1)).
What is -15?
If f(x) = 3x^2 - 2x and g(x) = 2x + 3, this is f(x) + g(x).
What is 3x^2 + 3?
This is (2x^2 + 4x - 3)(x)
What is 2x^3 + 4x^2 - 3x?
This is the inverse of f(x) = 2x - 7.
What is f-1(x) = .5x + 3.5?
If f(x) = sqrt(x) and g(x) = 2x + 3, this is (f o g)(x).
What is sqrt(2x + 3)?
If f(x) = sqrt(x) and g(x) = 2x + 3, this is f(x) + g(x)
What is 2x + sqrt(x) + 3?
** DAILY DOUBLE **
This is (x+1)^3.
What is x^3 + 3x^2 + 3x + 1?
This is the result of a composition of a function and its inverse.
What is the function y=x?