Inverse Of Linear Functions Worksheet Find an equation for the inverse for each of the following relations 3 y 3x 2 4 y 5x 7 5 y 12x 3 6 y 8x 16 7 x 5 3 2 y 8 x 5 4 3 y 9 x 10 8 5 y 10 x 8 2 1 y 11 y x2 5 12 y x 2 4 13 y x 3 14 y x 6 2 15 y x 2 y t 0 16 y x 5 y t 0 17 y x 8 y t 8 18 y x 7 y t 7 Verifying Inverses Verify that f and g are inverse functions 19
Inverses of Linear Functions Date Period Find the inverse of each function 1 f x 2x 5 2 eLNLZC0 t z nAYlsl 1 YrAirg2hjt psk irheJsOeQr1vze4dO A Y 7MFagdEer WwRiCtMhb DIvnbfVimn8iLt1eK VAglJghefblr XaZ 32k v Worksheet by Kuta Software LLC Algebra 2 ID 1 2 Worksheet by Kuta Software LLC Find the inverse of each function Then graph the function and its inverse 11 f x x x y 12 f x x x y 13 g x x x y 14 g n n x y Critical thinking questions 15 Give an example of a function that doesn t have an inverse
Inverse Of Linear Functions Worksheet
Inverse Of Linear Functions Worksheet
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Finding the Inverse Level 1 Equate f x with y Swap x with y in each of the linear functions presented in these printable inverse function worksheets and solve for y and replace y with the inverse f 1 x and check Download the set Use the key steps above as a guide to solve for the inverse function That was easy Example 2 Find the inverse of the linear function Towards the end part of the solution I want to make the denominator positive so it looks good I did it by multiplying both the numerator and denominator by latex 1 latex
Inverse Function Relations and Functions everything you might want to know Domain and Range Functions and Relations in Math Free worksheet pdf and answer key on Inverse Functions identify write and express the inverse of functions based on graphs tables order pairs and more Algebra 2 FL B E S T 11 units 156 skills Unit 1 Properties of functions Unit 2 Linear equations inequalities and systems Unit 3 Quadratic functions equations introduction Unit 4 More on quadratics complex numbers Unit 5 Polynomial equations functions introduction Unit 6 More on polynomial equations functions
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STEP 1 Write the function as an equation replacing f x f x by y y STEP 2 Solve for x x the equation obtained in step 1 STEP 3 Interchange x x and y y in the above equation STEP 4 Write the inverse function Below are shown the graph of f f green and f 1 f 1 blue are reflection of each other on the line y x y x red Get your free inverse functions worksheet of 20 questions and answers Includes reasoning and applied questions Example 1 Finding the inverse of a linear function If f x 3x 7 find f 1 x Write out the expression for the original function using a y instead of the x
3 12 f x x 2 x 0 13 f x x 3 3 14 f x 2 x 2 1 x 0 Given the following graph determine if it is a function using the vertical line test if the inverse is a function using the horizontal line test and then graph the inverse by choosing points from the graph and flipping the x and y With the exception of horizontal lines all linear functions are one to one and thus have inverses that are also functions In this lesson we will investigate these inverses and how to find their equations Exercise 1 On the grid below the linear function 2 4 is graphed along with the line How can you quickly tell that 2
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Inverse Of Linear Functions Worksheet - 8 Let f be a linear function with slope m with m 6 0 What is the slope of the inverse function f 1 Solution Since f is a linear function we have that f x mx b for some constants m and b To nd the inverse of f y mx b x my b my x b y 1 m x b m Therefore f 1 x 1 m x b m and the slope is 1 m 9 A ball is thrown in the air