Question

What is the domain of the function g(x)=5^2x?
A-x>0
B-x<0
C- all real numbers
D- all positive real numbers

Answer 1

The domain of a function is a set of values that will map the function to a set of range. 

for function $g(x)=5^{2x}$ the domain can be any numbers, for example:

$g(0)=5^{2*0}=5^0=1$
$g(3)=5^{2*3}=5^6=15625$
$g(-4)=5^{2*-4}=5^{(-8)}= \frac{1}{390625}$

Answer: C - all real numbers