Question

What is the domain of the function y = l n (StartFraction negative x 3 Over 2 EndFraction).

Answer 1

The domain of the provide function where the function is defined is x less than the number three.

What is the domain of the function?

Domain of a function is the set of all the possible input values which are valid for that function.

The function given in the problem is,

$y=\ln\left(\dfrac{-x+3}{1}\right)$

The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.

Thus, the function should be greater than zero as,

$\left(\dfrac{-x+3}{1}\right) > 0\\(-x+3) > 0\\-x > -3$

Change the sign of both side, by changing the inequality,

$x < 3$

Thus, the domain of the provide function where the function is defined is x less than the number three.

Learn more about the domain of the function here;

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