If y = f(x) = ax + b cx - a , then x is equal to - Vidyadip

MCQ

If $y = f(x) = \frac{{ax + b}}{{cx - a}}$, then $x$ is equal to

A
$1/f(x)$
B
$1/f(y)$
C
$yf(x)$
✓
$f(y)$

✓

Answer

Correct option: D.

$f(y)$

d
(d) $y = \frac{{ax + b}}{{cx - a}}$

$⇒ x(cy - a) = b + ay$

$⇒ x = \frac{{ay + b}}{{cy - a}} = f(y)$.

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