Question

$f:R\to R,f\left(x\right)=\frac{2x^2-x+5}{7x^2+2x+10}$ is many-one into.

• A. True
• B. False

Answer 1

The correct option is A True

$f\left(x\right)=\frac{2x^2-x+5}{7x^2+2x+10}$

7x + 2x + 10 $\to$ always +ve

$\therefore domain\to R\therefore onto$

$2x^2$ - x + 5 = $2x^2$ = 3

but function can take 1 values for same f(x) $\therefore manyone$

Many one - onto