What is the domain of f(x)=log_{2}(2^x+6)+3 ?

The domain of f(x)=log_{2}(2^x+6)+3 is -infinity <x<infinity

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domain of f(x)=log_{2}(2^x+6)+3

domain

f (x) = lo g_{2} (2^{x} + 6) + 3

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find positive values for logs:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

g (x) = 49 - x^{2}

csc (2 x)

f (x) = ∣ x - 1 ∣ - 1

\frac{( x ^{5} - 16 x )}{5 x ^{3} - 6 x ^{2} + x}

f (x) = ln (x - 2) - 1

What is the domain of f(x)=log_{2}(2^x+6)+3 ?
The domain of f(x)=log_{2}(2^x+6)+3 is -infinity <x<infinity