Answer with explanation:
The given function is
[tex]y=7^{4x}[/tex]
Domain of the function is defined as set of all values of x for which y is defined.
In the given function ,y is defined for all real values of x.
So, Domain of the function =R--Set of real numbers.
Range of the function is defined as set of all values of y, for which x is defined.
[tex]y=7^{4x}\\\\ \text{Taking log on both sides}\\\\ \log y=4x \log 7\\\\x=\frac{\log y}{4 \log 7}[/tex]
⇒log y is defined for, y>0.
Range of the function will be
=(0,∞)
=Set of Positive real numbers
