Solving for Inverse Functions

Are the following inverses of each other?

• True

• False

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

Which of the following statements about inverse functions is NOT true?

• All functions have an inverse function.

• You can determine if a function has an inverse by applying the HORIZONTAL line test.

• If a function has an inverse, the first step to solving for it is to switch x and y in the equation.

Which is the inverse of the table?

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Which table shows the inverse values of the function shown in the graph?

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What is the inverse of squaring?

• Dividing by 2

• Multiplying by 2

• Taking the square root

• Multiplying the value by itself

Are f(x) and g(x) inverses based on the tables of values?

• yes, the inputs and outputs are switched

• no, the inputs and outputs should have opposite signs

• yes, the values are all positive

• no, the values are increasing

Are the functions inverses? Why or why not?

• yes, the graphs reflect over the line y=x

• yes, the graphs have a 90 degree rotation around the origin

• no, the graphs open in two different directions

• no, the graphs do not to intersect

To find a missing angle when given two sides, you must use ______ 

• Trigonometric Functions 

• Trigonometric Rations 

• Inverse Trigonometric Functions

• Pythagorean Theorem