Question

The following table represents a function from $A=\{5,6,8,10\}$ to $B=\{19,15,9,11\}$, where $f\left(x\right)=2x-1$. Find the values of $a$ and $b$.

x	5	6	8	10
f(x)	a	11	b	19

Answer 1

Given, $f\left(x\right)=2x-1$

$f\left(5\right)=2\left(5\right)-1=a$

$\Rightarrow a=9$

$f\left(8\right)=2\left(8\right)-1=b$

$\Rightarrow b=15$