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

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

Rajasthan PETRajasthan PET 2003

Solution:

$ \because $ $ y=f(x)=\frac{ax+b}{cx-a} $
$ \Rightarrow $ $ y(cx-a)=ax+b $
$ \Rightarrow $ $ (yc-a)x=b+ay $
$ \Rightarrow $ $ x=\frac{ay+b}{cy-a}=f(y) $