2
QuizMultiple Choice

Translations of Exponential Functions — Quiz

Question 2 • Algebra: Concepts and Connections

What is the domain of f of x is equal to 5 to the x th power minus 7 ?

Answer
A
start set x such that x is greater than 0 end set
B
start set x such that x is less than negative 7 end set
C
start set x such that x is a real number end set
D
start set x such that x is greater than negative 7 end set

Explanation

The function is f(x) = 5^x − 7. An exponential expression with positive base 5 is defined for every real value of x, and subtracting 7 does not restrict the domain. Therefore, the domain is all real numbers, choice D.

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