Operations
This is the inverse of ADDITION.
What is SUBTRACTION?
If f(x) = -2x + 4, what is f(1)?
f(x) = -2x + 4
f(1) = -2(1) + 3 = -2 + 3 = 1
f(1) = 1
A point on a function is (3, 9). What is a point on its inverse?
What is (9, 3)?
I am the inverse equation of f(x) = x - 5.
What is f-1(x) = x + 5?
This type of function grows at a constant rate.
What is a linear function?
This is the inverse of DIVISION.
What is MULTIPLICATION?
If g(x) = x2 - 3, what is g(5)?
g(x) = x2 - 3
g(5) = (5)2 - 3 = 25 - 3 = 22
g(5) = 22
The x-intercept of a function is (5, 0). What is the y-intercept of the inverse?
What is (0, 5)?
I am the inverse of g(x) = x/3.
What is g-1(x) = 3x?
This type of function grows by a constant factor.
What is an exponential function?
This is the inverse of a SQUARE.
What is a SQUARE ROOT?
If f(x) = -2x + 4, what is f(t)?
f(x) = -2x + 4
f(t) = -2t + 4
A line has a slope of 5/3. What is the slope of its inverse?
What is 3/5?
I am the inverse of f-1(x) = 2x.
What is f(x) = log2(x)?
This type of function has a constant slope.
What is a linear function?
This is the inverse of a CUBE ROOT.
What is a CUBE?
If f(x) = -2x + 4, what is f(t+1)?
f(x) = -2x + 4
f(t+1) = -2(t+1) + 4 = -2t - 2 + 4 = -2t + 2
f(t+1) = -2t + 2
If a line has a slope of -6/11, what is the slope of its inverse?
What is -11/6?
I am the inverse of g-1(x) = (x+1)2.
What is g(x) = sqrt(x) - 1?
This type of function uses perfect squares.
What is a quadratic function?
This is the inverse of LOG2(x).
What is 2x?
If g(x) = x2 - 3, what is g(t+1)?
g(x) = x2 - 3
g(t+1) = (t+1)2 - 3 = (t2 + 2t + 1) - 3 = t2 + 2t - 2
g(t+1) = t2 + 2t - 2
Graphs of inverse functions are reflected over this line.
What is the line y = x?
I am the inverse of f(x) = 2x3 - 5.
What is f-1(x) = cbrt{(x+5)/2}?
Only half of this function can be graphed for the inverse.
What is a quadratic function?