What is the domain of arcsin(2^{2x}-3*2^x+1) ?

The domain of arcsin(2^{2x}-3*2^x+1) is x<= 0\lor 1<= x<= log_{2}(3)

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domain of arcsin(2^{2x}-3*2^x+1)

domain

arcsin (2^{2 x} - 3 \cdot 2^{x} + 1)

x \leq 0 or 1 \leq x \leq lo g_{2} (3)

Interval Notation

(- \infty, 0] \cup [1, lo g_{2} (3)]

Solution steps

Find known functions domain restrictions:

x \leq 0 or 1 \leq x \leq lo g_{2} (3)

The function domain

x \leq 0 or 1 \leq x \leq lo g_{2} (3)

\frac{x + 5}{( x - 1 ) ( x + 2 )}

p (x) = x^{2} - 2 x + 10

sin (x - 4)

f (x) = \frac{( t - 4 )}{4 t - 24}

\frac{4 x ^{2} + 28 x + 40}{x + 5}

What is the domain of arcsin(2^{2x}-3*2^x+1) ?
The domain of arcsin(2^{2x}-3*2^x+1) is x<= 0\lor 1<= x<= log_{2}(3)