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 ▸Find the equation of the tangent to the curve y = 3x^2(x+2)^6 at the point (-1,3), in the form y = mx+c
p(x)=2x^3 + 7x^2 + 2x - 3. (a) Use the factor theorem to prove that x + 3 is a factor of p(x). (b) Simplify the expression (2x^3 + 7x^2 + 2x - 3)/(4x^2-1), x!= +- 0.5
Curves C1 and C2 have equations y= ln(4x-7)+18 and y= a(x^2 +b)^1/2 respectively, where a and b are positive constants. The point P lies on both curves and has x-coordinate 2. It is given that the gradient of C1 at P is equal to the gradient of C2 at P.
How do you sketch r=theta? I don't really understand polar coordinates.