Which function below is the inverse of f (x) = The quantity of seven x plus one, over two.? A) f-1 (x) = two over the quantity of seven x plus one. B) f-1 (x) = two over the quantity of one minus seven x. C) f-1 (x) = The quantity of two x plus one, over seven. D) f-1 (x) = The quantity of two x minus one, over seven

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Mathematics

Bernard Baldwin

3 July, 04:56

Which function below is the inverse of f (x) = The quantity of seven x plus one, over two.? A) f-1 (x) = two over the quantity of seven x plus one. B) f-1 (x) = two over the quantity of one minus seven x. C) f-1 (x) = The quantity of two x plus one, over seven. D) f-1 (x) = The quantity of two x minus one, over seven

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Nelson Garner · Answer 1

The given function is f (x) = (7x + 1) / 2. Write it as y = (7x) / 2 + 1/2. To determine the inverse do these 3 steps. Step 1: Swap x and y to obtain x = (7y) / 2 + 1/2. Step2: Solve for y. First, multiply through by 2 to obtain 2x = 7y + 1. Second, subtract 1 from each side to ontain 2x - 1 = 7y. Third, divide through by 7 to obtain (2x - 1) / 7 = y. Step 3: Set y to the inverse of f (x) to obtain f^ (-1) (x) = (2x - 1) / 7.