Explanation Given Information: The provided function is f ( x ) = x − 1 . Formula used: In order to calculate the inverse of the function f ( x ) , follow the steps as below, Step 1: Replace f ( x ) by y . Step 2: Interchange x and y . Step 3: Solve for y . Step 4: Replace y by f − 1 ( x ) . Calculation: Consider the provided function is f ( x ) = x − 1 , Now, replace the f ( x ) by y . Therefore, y = x − 1 Now interchange the value of x and y , Therefore, x = y − 1 Solve for y , x = 1 y y = 1 x = x − 1 Thus, y = x − 1 . Now, replace the y by f − 1 ( x ) . Hence, the inverse function is f − 1 ( x ) = x − 1 . To check: ( f − 1 ∘ f ) ( x ) = x and ( f ∘ f − 1 ) ( x ) = x For, the function f ( x ) = x − 1 and f − 1 ( x ) = x − 1 <

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Chapter 8.2, Problem 62ES

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To calculate: The inverse for the function f(x)=x−1.

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Chapter 8.2, Problem 61ES

Chapter 8.2, Problem 63ES

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Ch. 8.1 - Evaluate expressions containing negative...Ch. 8.1 - Prob. 2SR Ch. 8.1 - Prob. 1DE Ch. 8.1 - Prob. 2DE Ch. 8.1 - Prob. 3DE Ch. 8.1 - Prob. 4DE Ch. 8.1 - Prob. 5DE Ch. 8.1 - Prob. 6DE Ch. 8.1 - Prob. 1CCE Ch. 8.1 - Prob. 7DE

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The inverse for the function f ( x ) = x − 1 .

Solution Summary: The author explains how to calculate the inverse of the function f(x).

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