Compositions
Operations of Functions
Inverses
Is the inverse a function?
Graphing
100
Find g(f(x)) if
f(x)=2x^2 and g(x)=x-4
What is 2x2 - 4?
100
Let f(x)=4x-1 and g(x)=2x2+3. Then f(x)+g(x) equals what?
What is What is 2x2 + 4x + 2
100
Find the inverse of f(x)=4x-1.
What is
f^-1(x)=(x+1)/4
100
Is the inverse a function?
What is no - doesn't pass the horizontal line test.
100
Give the domain and range for
f(x)=3sqrt(x-4)+2
What is
D: [4,oo) R: [2,oo)
200
Find h(k(x)) if k(x) = x + 5 and h(x) = x2.
What is x2 + 10x + 25?
200
Let f(x)=-3x+2 and g(x)=5-x. Then f(x)+g(x) equals what?
What is -4x + 7
200
Find the inverse of
f(x)=(3x-4)/2
What is
f^-1(x)=(2x+4)/3
200
Is the inverse a function?
What is yes - it passes the horizontal line test.
200
Give the domain and range for
g(x)=-3root(3)(x-2)+4
What is
D: (-oo,oo) R:(-oo,00)
300
g(x) = 8x2 and h(x) = 2x3
h(-2) = ?
What is -16?
300
Let f(x)=3x+5 and g(x)=x2. Find f(x) * g(x).
What is 3x3 + 5x2?
300
Find the inverse of
h(x)=1/3sqrtx
What is
h^-1(x)=9x^2
300
Graph and then determine if the inverse is a function.
f(x) = -2x + 7
What is yes - passes the horizontal line test.
300
Graph:
-3(x-4)^(1/2)-2
What is 
400
g(x) = 8x2 and h(x) = 2x3
g(-2) = ?
What is 32?
400
Let f(x)=12x8 and g(x)=4x2. Find
f(x)/g(x)
What is 3x6?
400
Find the inverse of
k(x)=x^4-9
What is
k^-1(x)=+-root(4)(x+9
400
Graph the function: f(x) = x3 - 4.
Is the inverse a function?
What is yes - passes the horizontal line test.
400
Graph. Give the domain and range. Compare to the parent function.
f(x)=-1/2(x+2)^(1/3)-4
What is
D: (-oo,oo) R: (-oo,oo)
Reflection, vertical shrink, translate left 2 and down 4.
500
g(x) = 8x2 and h(x) = 2x3
h(-1) = ?
What is -2
500
Let f(x)=x2 - 5 and g(x)=3x3 + 2. Find
f(x)*g(x)
What is 3x5 - 15x3 + 2x2 - 10?
500
Use the composition of functions to determine whether f and g are inverses.
f(x)=2x-3 and g(x)=(x+3)/2
What is yes.
500
Graph: -x2 + 3
Is the inverse a function?
What is no - doesn't pass the horizontal line test.
500
Write the equation of the graph shown.
What is
f(x)=-sqrt(x-1)