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Math / Algebra / Grade 11 / mlbd4

Reverse a Linear Function - Practice 1

To reverse y = ax + b with nonzero a, subtract b and divide by a.

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To reverse y = ax + b with nonzero a, subtract b and divide by a. An inverse undoes the function; it is not the reciprocal of the output.

Worked example

For f(x) = 3x + 2, f inverse of 17 is (17 - 2) / 3 = 5.

For f(x) = 3x + 2, f inverse of 17 is (17 - 2) / 3 = 5.
Worked model: For f(x) = 3x + 2, f inverse of 17 is (17 - 2) / 3 = 5.
Question 1 For f(x) = 3x + 2, which input produces output -10?
Question 2 For f(x) = 3x + 2, which input produces output -7?
Question 3 For f(x) = 3x + 2, which input produces output -4?
Question 4 For f(x) = 3x + 2, which input produces output -1?
Question 5 For f(x) = 3x + 2, which input produces output 2?