Question

Which option below best describes why the domain of g(x) = 5–x is all real numbers but the range of g is not all real numbers?

FILL IN THE BLANKS
The domain of g is all real numbers because every real number______.
a. makes sense of an exponent
b. is an output of g
______________________________________________________
However, the range of g is not all real numbers because the _______.
a.power of a positive real number is a positive
b.exponent for g has a minus sign

Answer 1

• a.
• a.

Explanation:

We assume you intend the definition of g(x) to be ...

`g(x)=5^(-x)`

The domain of g is all real numbers, because every real number (a) makes sense as an exponent. However, the range of g is not all real numbers, because (a) a power of a positive real number is positive.