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Range

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Determine the domain and range of f (x) =([x]-x)

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f (x) = {\begin{matrix} x + 1 & x < 0 x^{2} & x \geq 0 \end{matrix}

g (x) = {\begin{matrix} x^{3} & x < 1 2 x - 1 & x \geq 1 \end{matrix}

f (g (x))

and find its domain and range.

The domain and range of the function f: R → R defined by:
f = {(x+1, x+5): x ∈ {0, 1, 2, 3, 4, 5}}

Determine the domain and range of the relation R defined by:

$R = {(x, x + 5) : x ϵ {0, 1, 2, 3, 4, 5}}$

Q. The domain and range of the function f given by f(x) = 2 − |x − 5|, is
(a) Domain = R⁺, Range = (−∞, 1]
(b) Domain = R, Range = (−∞, 2]
(c) Domain =R, Range = (−∞, 2)
(d) Domain = R⁺, Range = (−∞, 2]

The function f o g (x) can be defined if

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