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Write the domain and the range of the function,.
(i) domain
As f(x) is a polynomial function whose domain is R except for the points where the denominator becomes 0.
Hence x≠
Domain is R-{}
(ii) range
Let y=
Y(bx-a) = ax +b
byx -ay = ax + b
byx -ax= ay +b
x(by -a) = ay + b
x =
x is not defined when denominator is zero.
by – a ≠ 0
y≠a/b
Range is R-{a/b}.