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.

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Question: Factorise the expressions: 1. X^2 - 9 2. 2X^2 - 14X + 24


Solve 6x^2 > 3 - 7x


(2x+3)^2


work out: ( 4 × 10^3 )^2 + 3.5 × 10^7 and give your answer in standard form.


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