Find the Inverse
What is the inverse of
f(x)=x/4
What is
4x
f(x)=(x-5)/10
h(x)=10x+5
What is Yes
The inverse notation for the function
f(x)
What is
f^-1(x)
Is f(g(x)) the same as g(f(x))?
What is no
What is the inverse of
f(x)=3x+1
What is
f^-1(x)=(x-1)/3
f(x)=3(x-9)
g(x)=1/3x+9
What is Yes
The graph of a function that passes through the point (-3,4). What point must lie on the graph of the function's inverse?
What is (4,-3)
Find
f(g(x))
f(x)=4x
g(x)=2x+7
What is 8x+28
What is the inverse of
j(x)=(2x+3)/4
What is
j^-1(x)=2x-3/2
f(x)=x+10
g(x)=-x-10
No
True or false: a function and its inverse can never intersect
What is false
Example:
f(x)=2x, f^-1(x)=x/2
Find
g(f(x))
f(x)=4x
g(x)= 2x+7
What is 8x+7
The inverse of
g(x)=(8-5x)
What is
g^-1(x)=(8-x)/5
g^-1(x)= (-x+8)/5
g(x)=(8+9x)/2
f(x)=(5x-9)/2
What is No
When given the domain and range of a function but not the actual function, what information do I know about the inverse function?
What is the domain and range of my inverse function by interchanging x & y
Find
f(g(x))
f(x)=x/4
g(x)=3x+1
What is (3x+1)/4
What is the inverse of
g(x)=1/2(x-6)
What is
g^-1(x)=2x+6
f(x)=2x+2
g(x)=2x-2
No
True or false: a function can be its own inverse
What is true
Examples:
y=x, y=-x+3
Find
fg(1)
f(x)=x/4
g(x)=3x+1
What is
1