What is an inverse function?

An inverse function essentially gives us the opposite output for the same input of a function and cab be graphically represented as a reflection on the y=x axis.To find algebraically the inverse of a function, we can simply swap out our function for a variable y to replace f(x) and then we rearrange to make x a function of y. To complete our final answer, we finally need to replace the y terms with x and replace our subject of the formula with f^-1(x) to signify that this is an inverse function.

LS

Related Maths GCSE answers

All answers ▸

Find the exact value of the gradient of the curve y=e^(2-x)ln(3x-2) at the point on the curve where x=2.


How do I factorise quadratic equations?


Given the curve y=x^2 -6x +8, find the turning point.


There are n sweets in a bag. 6 are Orange, the rest are Yellow. Hannah takes a sweet out of the bag, and eats it, she does this twice. The Probability of Hannah eating two orange sweets is 1/3. Show that n^2 - n - 90 =0, and solve to find the value of n.