Question

Determine the domain and range of the function . f(x)=2 3√ 108^2x all real numbers; y all real numbers; y x > 0; y x; all real numbers

Answer 1

answer is A on edge

Explanation:

just did the assignment

Answer 2

Domain : x ; Range: y > 0

Explanation:

The function can be written as :

`f(x)=\sqrt[(2)/(3)]{108^(2\cdot x)}\\\\\implies f(x)=(108)^{((3)/(2))^(2\cdot x)}`

Now, since x is exponent so it can take any real values. So, its domain of f(x) is all real numbers

But value of f(x) can not be less than 1 because for x = 0 the value of f(x) is 1 and also for any values of x, the value of f(x) can never be less than 1

So, Range of f(x) is all real numbers greater than 0

Hence, Domain and Range of f(x) is given by :

Domain : x ;

Range: y