what is the domain of the linear function f x 4x 3 Popular Problems Algebra Find the Domain and Range f x 4x 3 f x 4x 3 f x 4 x 3 The domain of the expression is all real numbers except where the expression is undefined In this case there is no real number that makes the expression undefined Interval Notation Set Builder Notation x x R x x
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 The domain of a function is the set of all values of x which will make the function work The given function is f x 4x 3 Since there is no value that makes the function undefined so the domain of the given function is the set of all real numbers Therefore domain of f x 4x 3 is x x R Was this answer helpful 0 Similar Questions
what is the domain of the linear function f x 4x 3
what is the domain of the linear function f x 4x 3
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Exercse PageIndex 3 Find the domain of the function f x dfrac 1 4x 2x 1 nonumber Answer infty dfrac 1 2 cup dfrac 1 2 infty nonumber The range is simply y 2 The summary of domain and range is the following Example 4 Find the domain and range of the quadratic function latex y x 2 4x 1 latex Just like our previous examples a quadratic function will always have a domain of all x values
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 7 months ago Domain is all the values of X on the graph So you need to look how far to the left and right the graph will go There can be very large values for X to the right Range is all the values of Y on the graph So you look at how low and how high the graph goes
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Domain Function Range Example when the function f x x 2 is given the values x 1 2 3 then those values are the domain Domain Range and Codomain Illustrated definition of Domain of a Function All the values that go into a function The output values are called the range What are the domain and range of the real valued function f x x 3 Solution This is a linear function Remember that linear functions are lines that continue forever in each direction Any real number can be substituted for x and get a meaningful output
If ff is a linear function f 0 1 11 5f 0 1 11 5 and f 0 4 5 9f 0 4 5 9 find an equation for the function 98 Graph the function ff on a domain of 10 10 f x 0 02x 0 01 10 10 f x 0 02x 0 01 Enter the function in a graphing utility 4x 3 Divide both sides by 4 x 3 4 The domain is x R x 3 4 Answer link x 3 4 As f x ln 4x 3 and we cannot have natural log of a negative number as also 0 the domain is given by 4x 3 0 or x 3 4 This may also be seen by the graph of f x ln 4x 3 graph ln 4x 3 10 10 5 5
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what is the domain of the linear function f x 4x 3 - Popular Problems Linear Algebra Find the Domain f x x 3 4x f x x3 4x f x x 3 4 x The domain of the expression is all real numbers except where the expression is undefined In this case there is no real number that makes the expression undefined Interval Notation Set Builder Notation x x R x x