domain of square root of 3 6x Domain y frac x 2 x 1 x domain f x x 3 domain f x ln x 5 domain f x frac 1 x 2 domain y frac x x 2 6x 8 domain f x sqrt x 3 domain f x cos 2x 5 domain f x sin 3x Show More
Go Popular Examples inflection points frac 1 x 2 inverse f x frac 2x 3 x 2 line m 5 at 4 12 inverse f x 32 2 0 05 x 1000 inverse f x 8 Frequently Here are some examples illustrating how to ask for the domain and range domain of log x x 2 1 x 2 1 domain find the domain of 1 e 1 x 1 function domain square root of cos x log 1 x 2 domain range of arccot x View more examples VIEW ALL CALCULATORS
domain of square root of 3 6x
domain of square root of 3 6x
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Question Video Finding The Domain Of A Function With A Square Root
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Domain Of A Function With A Square Root 2 YouTube
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Video transcript Find the domain of f of x is equal to the principal square root of 2x minus 8 So the domain of a function is just the set of all of the possible valid inputs into the function or all of the possible values for which the function is defined Definition of the Domain of a Function For a function f f defined by an expression with variable x x the implied domain of f f is the set of all real numbers variable x x can take such that the expression defining the function is real The domain can also be given explicitly For a square root function given by f x x f x x to have
Popular Problems Precalculus Find the Domain f x square root of 3x 6 f x 3x 6 f x 3 x 6 Set the radicand in 3x 6 3 x 6 greater than or equal to 0 0 to find where the expression is defined 3x 6 0 3 x 6 0 Solve for x x Tap for more steps x 2 x 2 f x sqrt 6x 3 Answer The even root of a negative number is not defined as a real number Thus 6x 3 must be greater than or equal to zero Since 6x 3 ge 0 implies that x ge frac 1 2 the domain is the interval frac 1 2 infty
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This precalculus video tutorial explains how to find the domain of a square root function and how to write the domain of a rational function using interval n To calculate the domain of a square root function solve the inequality x 0 with x replaced by the radicand Using one of the examples above you can find the domain of f x 2 sqrt x 3 f x 2 x 3 by setting the radicand x 3 equal to x in the inequality This gives you the inequality of x 3 0 x 3 0
About Transcript Functions assign outputs to inputs The domain of a function is the set of all possible inputs for the function For example the domain of f x x is all real numbers and the domain of g x 1 x is all real numbers except for x 0 We can also define special functions whose domains are more limited Since sqrt 3 x exists for all real numbers x its maximal natural domain is mathbb R Addendum why would it make sense to consider a function on a domain smaller than its maximal domain Think about function inverses
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domain of square root of 3 6x - f x sqrt 6x 3 Answer The even root of a negative number is not defined as a real number Thus 6x 3 must be greater than or equal to zero Since 6x 3 ge 0 implies that x ge frac 1 2 the domain is the interval frac 1 2 infty