Question

One type of plant root splits 4 times while growing in the ground. The number of new roots after each split can be modeled by the function f(x)=3x , where x is the number of times the root splits. What is the domain of f(x) ?

Answer 1

The domain is the possible values of x that can be plugged into the function safely.

Let D = domain of f

D = ALL REAL NUMBERS

Answer 2

Answer with explanation:

It is given that, One type of plant root splits 4 times while growing in the ground.

The number of new roots after each split is given by the function:

f(x)= 3 x

Where,
`x= 4^n` ,for, n=0,1,2,3,....for each new root. because plant root splits 4 times while growing in the ground.

That is , x is divisible by 4.

So, f(x) will be
`=3* 4^(n)`

So, Domain of f(x)=A geometric Sequence,having first term, 3,12, 48,192, ..........

or , if you simply want to find the Domain of function , f(x)= 3 x,the meaning of domain is set of all x ,for which f(x) is defined.Domain will be, x∈R.that is set of all Real Numbers.

Explained this with the help of Image