Determine whether the following statement makes sense or does not make sense, and explain your reasoning. A student found the inverse of f(x) = 6x - 1 mentally by reversing "multiplying by 6 and subtracting x+1 1" to get "adding 1 and dividing by 6," so f -'(x) 6 A. The statement does not make sense because f is the reciprocal f. Hence, (Use integers or fractions for any numbers in the expression.) O B. The statement does not make sense because f1 reverses the changes produced by f. In this case, the first operation on x is multiplication and the second is subtraction. So, first perform subtraction and then multiplication. Hence, f(x) = | (Use integers or fractions for any numbers in the expression.) O C. The statement makes sense because f1 undoes the changes produced by f. In this case, the first operation on x is multiplication and the second is subtraction. So, first undo subtraction then multiplication.

Determine whether the following statement makes sense or does not make sense, and explain your reasoning. A student found the inverse of f(x) = 6x - 1 mentally by reversing "multiplying by 6 and subtracting x+1 1" to get "adding 1 and dividing by 6," so f -'(x) 6 A. The statement does not make sense because f is the reciprocal f. Hence, (Use integers or fractions for any numbers in the expression.) O B. The statement does not make sense because f1 reverses the changes produced by f. In this case, the first operation on x is multiplication and the second is subtraction. So, first perform subtraction and then multiplication. Hence, f(x) = | (Use integers or fractions for any numbers in the expression.) O C. The statement makes sense because f1 undoes the changes produced by f. In this case, the first operation on x is multiplication and the second is subtraction. So, first undo subtraction then multiplication.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter10: Exponential And Logarithmic Functions

Section10.3: Inverse Functions

Problem 70PS

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