How to gain an inverse function

Set f(x) = y. Then rearrange your equation to find x on it's own as some function of y. If you have a x term on both the top and bottom of a fraction then you will have to multiply the whole equation through by the denominator. Times out any brackets and collect all x terms on one side of the equation with any other terms on the other side. To make it neater you would then replace all the y's with x's to make the inverse of f(x).

WS

Related Maths A Level answers

All answers ▸

How can I determine the stationary points of a curve and their nature?


Find an equation of the circle with centre C(5, -3) that passes through the point A(-2, 1) in the form (x-a)^2 + (y-b)^2 = k


The height (h) of water flowing out of a tank decreases at a rate proportional to the square root of the height of water still in the tank. If h=9 at t=0 and h=4 at t=5, what is the water’s height at t=15? What is the physical interpretation of this?


The numbers a, b, c and d satisfy the following equations: a + b + 3c + 4d = k; 5a = 3b = 2c = d. What is the smallest value for k for which a, b, c and d are all positive integers