A lovely function problem

Algebra Level 5

A function f:R{a1,a2}R,f:\mathbb{R} -\{a_1,a_2\} \to \mathbb{R}, where R\mathbb{R} is the set of Real numbers, is defined by f(x)=Ax2+6x8A+6x8x2f(x)=\frac{Ax^2+6x-8}{A+6x-8x^2} How many integral values of AA exist for which f(x)f(x) is onto?


Details : a1,a2a_1,a_2 are the roots of the quadratic equation A+6x8x2=0A+6x-8x^2=0.

×

Problem Loading...

Note Loading...

Set Loading...