Question

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

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.