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Composite Functions with Integers
Composite Functions with Variables
Piecewise Functions
Writing Inverse Functions
Questions About Inverse Functions
100
If f(x)=x+2 and g(x)=2x, this is f(g(3)).
What is 8
100
If f(x)=2x+1, this is f(a-2)
What is 2a-3
100
Look at figure B on the board. Find f(4)
What is 81
100
Write the inverse of y=-4x+6
What is f^-1(x)=(x-6)/-4
100
Write the symbol for inverse function
What is f^-1(x)
200
If f(x)=x+2 and g(x)=2x, this is g(f(-3))
What is -2
200
If f(x)=3x^2 and g(x)=x-3, then find (f ° g)(x)
What is 3x^2-18x+27
200
Look at figure B on the board. Find f(-2)
What is -1
200
Write the inverse for f(x)=7x-4
What is f^-1(x)=(x+4)/7
200
Inverse functions have symmetry around this line.
What is y=x
300
If f(x)=x^2+3 and g(x)=3x-1, then this is (f ° g)(5).
What is 199
300
If f(x)=3x^2 and g(x)=x-3, then this is (g ° f)(x)
What is 3x^2-3
300
Look at figure B on the board. Find f(-3)
What is 8
300
Write the inverse of f(x)=the sixth root of (x+2)
What is f^-1(x)=x^6-2
300
Draw the inverse to the function labeled "A" on the board.
What is The end result looks like a fish
400
If f(x)=x+1, g(x)=x^2, and h(x)=sqrt(x), then find f(g(h(16))).
What is 17
400
let h(x)=x^2+1, then find h(x-2)
What is x^2-4x+5
400
Look at figure B on the board. Find f(5)
What is 126
400
Write the inverse of g(x)=sqrt(3x+7)
What is g^-1(x)=(x^2-7)/3
400
Is the function y=x^3 "one to one"?
What is Yes
500
If f(x)=-x^2+2x and g(x)=x-2, what is (g ° f)(2)
What is -2
500
If g(x)=x^2+7 and f(x)=x-3, find f(g(x))
What is x^2+4
500
Look at figure B on the board. Find f(0)
What is 5
500
Write the inverse of h(x)=2x^2-7
What is h^-1(x)=sqrt((x+7)/2)
500
Is the function f(x)=x^2+2x "one to one"?
What is No