Find the Domain 4^x+2^(x+1)-48=0

Problem

4+2(x+1)−48=0

Solution

1. Identify the type of equation. This is an exponential equation where the variable x appears in the exponents.

2. Recall the definition of the domain for exponential functions. The function ƒ(x)=ax (where a>0 is defined for all real numbers.

3. Analyze the expression 4+2(x+1)−48 There are no denominators containing variables, no square roots of negative numbers, and no logarithms.

4. Determine the constraints. Since there are no operations that restrict the input x the variable x can be any real number.

5. Conclude that the domain of the expression is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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