Compositions
Inverses - Domain?
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
Find the inverse of
g(x)=-1+3x
What is
(x+1)/3
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 for
f(x)=3sqrt(x-4)+2
What is
D: [4,oo)
200
Find h(k(x)) if k(x) = x + 5 and h(x) = x2.
What is x2 + 10x + 25?
200
Find the inverse of
g(x)=(2x)^2+5
What is
Domain:
[0, ∞)
sqrt((x-5)/2)
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 for
g(x)=-3(x-2)^2+4
What is
D: (-oo,oo)
300
g(x) = 8x2 and h(x) = 2x3
h(-2) = ?
What is -16?
300
Find the inverse of
g(x)=(x-2)^2
What is
Domain:
[2, ∞)
sqrt(x)+2
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
Given the graph below, write the equation:
What is
-3(x-4)^(1/2)-2
400
g(x) = 8x2 and h(x) = 2x3
g(-2) = ?
What is 32?
400
Find the inverse of
g(x)=-(x-4)^2+3
.
What is
Domain:
[4, ∞)
sqrt(-x+3)+4
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
Given the equation below, compare to the parent function and state the transformations.
f(x)=-1/2(x+2)^(3)-4
What is
Reflection over x axis, vertical shrink, translate left 2 and down 4.
500
g(x) = 8x2 and h(x) = 2x3
h(-1) = ?
What is -2
500
Find the inverse of
g(x)=(3x-4)/(8x+3)
What is
(-3x-4)/(8x-3)
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)