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Derivative of Some Standard Functions

find domain o...

Question

find domain of f(x) = √log_3(cos(sinx))

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f (x) = y = \sqrt{{log}_{3} cos (sin x)}

Find the domain of f(2x - 1) if the domain of f(x) is [-1,1]

f (x)

is defined on the interval

[0, 1]

. Find the domain of the function:

f (2 x + 3)

f_{1} (x)

f_{2} (x)

are defined on domains

D_{1}

D_{2}

respectively, then

f_{1} (x) + f_{2} (x)

D_{1} \cap D_{2}

.

f_{1} (x)

f_{_{2}} (x)

are defined on domains

D_{1}

D_{2}

respectively, then

f_{1} (x) + f_{2} (x)

D_{1} \cup D_{2} .

True or false?
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