Question

if f(x) = a-x/b-x, f(2) is undefined and f(3)=5 find a,b​

Answer 1

here is your answer hope it help

Answer 2

The value of a is -2 and the value of b is 2.

Step-by-step explanation:

Consider the provided function.

$f(x) = \frac{a-x}{b-x}$

Substitute x = 2 in above function.

$f(2) = \frac{a-2}{b-2}$

It is given that at f(2) the function is undefined.

A function is undefined if the numerator is equal to zero.

Therefore, $b-2=0\impliesb=2$

The only possible value which can make denominator 0 is 2.

So the value of b = 2.

Now Substitute x = 3 in the provided function.

$f(3) = \frac{a-3}{2-3}$

It is given that f(3)=5.

$5= \frac{a-3}{-1}$

$a-3=-5$

$a=-2$

Hence, the value of a is -2 and the value of b is 2.

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