Answer:
Step-by-step explanation:
Since log is defined by all positive real numbers
therefore domain is all positive real number that is ( 0,∞)
Range is given by real numbers
inverse of the given function is (10^x)/7
Whose domain is all real numbers and range is all positive real number
And since we know that domain of function and range of its inverse
& range of a function and domain of its inverse is same
which we are getting in the problem
so answer is justified
Answer:
Step-by-step explanation: The domain of a function is the set of all values for which the function is defined and the range is the set of all values [tex]y[/tex], for which there exists some [tex]x[/tex] such that
[tex]y=f(x)=\log7x\\\Rightarrow 7x=10^y\\\Rightarrow x=10^y/7[/tex].
Since [tex]log x[/tex] is defined for all real values of [tex]x[/tex] greater than zero. So, the domain of the given function is
D={x|7x is a real number>0}={x|x is a real number>0}.
And range is given by
R={y|y=\log 7x}={y|y is a real number}.
Thus, the domain is the set of all positive real numbers and range is the set of all real numbers.
