Question

the weight of the muscle of a man is a function of his body weight x and can be expressed as W(x)=0.35x. determine the domain of this function​

Answer 1

W(x) = 0.35x Since body weight x is positive and if it increases then W(x) also increase. Domain is (0, ∞) i.e.,x > 0

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Answer 2

$\displaystyle \sf{ The \: domain \: of \: the \: function \: is \bf \: \: (0, \infty ) }$

Given :

The weight of the muscle of a man is a function of his body weight x and can be expressed as W(x) = 0.35x

To find :

The domain of the function

Solution :

Step 1 of 2 :

Write down the given function

Here it is given that the weight of the muscle of a man is a function of his body weight x and can be expressed as W(x) = 0.35x

Step 2 of 2 :

Find domain of the function

Here x is the body weight of the man

Now weight of the man can be any real number

∴ x ∈ R

Again x is always positive

∴ x > 0

Hence domain of the function

$\sf = \{ \: x \in \:R : 0 < x < \infty \}$

$\displaystyle \sf{ = (0, \infty ) }$

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