If f(x) = \(\frac{x-5}{5-x}\) then find dom (f) and range (f). – InterviewSolution

InterviewSolution

1.

If f(x) = \(\frac{x-5}{5-x}\) then find dom (f) and range (f).

Answer»

Given: f(x) = \(\frac{x-5}{5-x}\)

(i) dom(f)

Here f(x) is a polynomial function whose domain is R except for points at which denominator becomes zero.

Hence x ≠ 5

The domain is (−∞,∞) – {5}

(ii) range(f)

Let y = \(\frac{x-5}{5-x}\)

For the specified domain

y = - 1

Range is {-1}.

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