Question

find the domain=3x/28-x?

Answer 1

Domain of the function is the value at which the function is defined.
So 3x/(28-x) is defined everywhere except x = 28
So the domain is R-{28}



Domain of f(x) is = R -28 where R is a real no

Answer 2

The domain of the function f(x) = 3x/(28-x) is R-{28}.

Given:

$Function:f(x) = \frac{3x}{28-x}$

To Find:

The domain of the function f(x).

Solution:

→The domain of a function is the set of all possible inputs for the function for which the function returns a unique output. Hence we can say that domain of a function is the set of all values of 'x' for which the function returns a unique output 'f(x)'.

→We choose the value of the domain such that the function does not become undefined at any of the values of the input and it returns a definite value as the output at every point.

→Thus we will follow the above rule to get the value of the domain of the function:

$Function:f(x) = \frac{3x}{28-x}$

∴ Domain of f(x) = R - {28} as the function becomes undefined at x = 28. The function returns a valid output at every real value of 'x' except 28.

Hence, the domain of the function f(x) = 3x/(28-x) is R-{28}.

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