Question

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

Answer 1

Answer:

answer is A on edge

Step-by-step explanation:

just did the assignment

Answer 2

Answer:

Domain : {x | all real numbers} ; Range: {y | y > 0}

Step-by-step explanation:

The function can be written as :

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

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 | all real numbers} ;

Range: {y | y > 0}