What is the domain and range of f (x) = 1/x?Find the Domain and Range f (x)= (x1)/ (x1) f (x) = x − 1 x 1 f ( x) = x 1 x 1 Set the denominator in x−1 x1 x 1 x 1 equal to 0 0 to find where the expression is undefined x1 = 0 x 1 = 0 Subtract 1 1 from both sides of the equation x = −1 x = 1 Transcript Misc 5 Find the domain and the range of the real function f defined by f (x) = x – 1 Here we are given a real function Hence, both domain and range should be real numbers Here, x can be any real number Here, f (x) will always be positive or zero Here value of domain (x) can be any real number Hence, Domain = R (All real numbers) We note that that range f (x) is 0 or positive numbers, So range cannot be negative Hence, Range
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F x x 1 domain and range- Misc 4 Find the domain and the range of the real function f defined by f(x) = √((𝑥−1)) It is given that the function is a real function Hence, both its domain and range should be real numbers x can be a number greater 1 Here, f(x) is always positive, Minimum value of f(x) is 0,Find the Domain and Range f (x)=1/x f (x) = 1 x f ( x) = 1 x Set the denominator in 1 x 1 x equal to 0 0 to find where the expression is undefined x = 0 x = 0 The domain is all values of x x that make the expression defined Interval Notation
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2x 1 = 0 2x = 1 x = 1 / 2 Therefore , Domain = R { 1/2 } All real numbers are used as range here For getting solve the denominator of the given fraction and reduce the value of x from the real number "R" Hope it helps you dudeDomain and Range of Exponential and Logarithmic Functions Recall that the domain of a function is the set of input or x values for which the function is defined, while the range is the set of all the output or y values that the function takes A simple exponential function like f(x) = 2x has as its domain the whole real lineFor example, a function f (x) f ( x) that is defined for real values x x in R R has domain R R, and is sometimes said to be "a function over the reals" The set of values to which D D is sent by the function is called the range Informally, if a function is defined on some set, then we call that set the domain
The given real function is f (x) = x − 1 It can be seen that x − 1 is defined for (x − 1) ≥ 0 ie, f (x) = (x − 1) is defined for x ≥ 1 Therefore the domain of f is the set of all real numbers greater than or equal to 1 ie, the domain of f = 1, ∞)To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW Find domain and range of `f(x)=x/(1x^2)`The Domain and Range of a Function The domain of a function is the set of values for the variable in which the function is defined or real On the
We can see the function a define for all values of x Domain of f(x) = R, where R is the set of all real number When you put any value of x from domain you'll get either '0′ or any positive value for f(x) So, Range of f(x) = 0, ∞) Graphical Method Simply draw the graph and you can see domain & range in graph itselfRange {yly>0} domain {x\x> 1/6);All real y ≥ 0 Example a State the domain and range of y = √ x4 b Sketch
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To find the domain, let f(x)=1/log(2x) is not defined for 1 2xFunction should remain real so math√(x^2–1)/mathshould not be equal to zero so math x^2–1 \neq 0/math mathx^2=1/math Or mathx=\pm 1/math And f (x) = 1/√x−5 Now for real value of x5≠0 and x5>0 ⇒ x≠5 and x>5 Hence the domain of f = (5, ∞) And the range of a function consists of all the second elements of all the ordered pairs, ie, f(x), so we have to find the values of f(x) to get the required range Now we know for this function x5>0 taking square root on both
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Range {yly> 2} domain {x x g According to the United States Postal Service, First Class Mail International (letters) takes 6 to days to deliver to their destination In order to test this, Greg, in Chicago, sent oneFind the domain and range of the function `f (x)= (1)/sqrt (x5)` Watch later Share Copy link Info Shopping Tap to unmute If playback doesn't begin shortly, try restarting your device UpThe domain and range are the intervals in which the function is defined in the x and y axes Answer and Explanation 1 Become a Studycom member to unlock this answer!
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Find Domain and Range of real functions (1) `f(x)=(x2)/(3x)` (2)`f(x)=1/sqrt(x5)` (3) `f(x)=x/(1x^2)` 1 f(x)= x 1 Find the domain, range, and intercepts of the function Then find the minimum and maximum values on the interval 0, 3I'll be breaking down this question in three parts, 1 When x is positive 2 When x is negative 3 When x is zero In the first case, if x is positive, And since the modulus of a positive number is the number itself, our function becomes, f(x) = x/
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Explanation h(x) = 1 x 1 Domain Denominator must not be 0 ∴ x 1 ≠ 0 or x ≠ − 1 Domain is any real value except −1 So Domain is R,x ≠ − 1 Range is any real value except 0 So Rage is R,h(x) ≠ 0 graph {1/ (x1) 10, 10, 5, 5} Ans Answer link All these are real values Here value of domain (x) can be any real number Hence, Domain = R (All real numbers) We note that that Range f (x) is 0 or negative numbers, Hence, Range = (−∞, 0 Ex 23, 2 Find the domain and range of the following real function (ii) f (x) = √ ( (9 −x^2)) It is given that the function is a real functionCalculus Find the Domain and Range f (x)=1/ (x7) f (x) = 1 x − 7 f ( x) = 1 x 7 Set the denominator in 1 x−7 1 x 7 equal to 0 0 to find where the expression is undefined x−7 = 0 x 7 = 0 Add 7 7 to both sides of the equation x = 7 x = 7 The domain is all values of x x that make the expression defined Interval Notation
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