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Basic Inverse Trigonometric Functions

Find the rang...

Question

Find the range of f(x)= sgn(2^x)+sgn(|x+5|)

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Q. Find the range of

f (x) = sgn (x^{2} - 2 x + 3)

sgn (y)

denotes the signum function of

y,

then the range of

f (x) = sgn (x^{2} + 4 x + 5)

Q. The number of real solution(s) of the equation

sgn (2 x - 4) = 2

is
(Here, sgn denotes the signum function)

Q. Find the range

f (x) = \frac{1}{\sqrt{x - 5}}

f (x) = \frac{1}{\sqrt{x - 5}}

, then find the domain and range of

f (x)

.

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