Stack Exchange network consists of 178 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange 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, RangeFind the Domain and Range f(x)=1/x Set the denominator in equal to to find where the expression is undefined The domain is all values of that make the expression defined
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F(x)=1/1-x^2 find domain and range
F(x)=1/1-x^2 find domain and range-Write the Domain and Range of the Function F ( X ) = X − 2 2 − X CBSE CBSE (Science) Class 11 Textbook Solutions Important Solutions 9 Question Bank Solutions 9938 Concept Notes & Videos 580 Syllabus Advertisement Remove all ads Write the Domain and Range of the Function F ( X ) = X − 2 2 − XYes For example, the function f (x) = − 1 x f (x) = − 1 x has the set of all positive real numbers as its domain but the set of all negative real numbers as its range As a more extreme example, a function's inputs and outputs can be completely different categories (for example, names of weekdays as inputs and numbers as outputs, as on
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Find the domain and range of the following functions f(x) = 1 x 2 Solution For any values values of x, the function will give defined values It will never become undefined So, domain is all real values that is R The range of x 2 lies between 0 to ∞ But we need find the range of 1 x 2 0 ≤ x 2 ≤ ∞ Multiplying by negative through out the inequality, we get ∞ ≤ x 2 ≤ 0 Add 1The domain and range of the function f= ((1/1x2)) x ∈ R, x ≠ ± 1 are respectively Q The domain and range of the function $f=\left\{\left(\frac{1}{1x^{2}}\right) x \in R, x \ne \pm 1There are no restrictions on domain The domain is (,) Since the value of x is squared, f(x) will always be equal or greater than 0
Example 1 Find the domain and range of the following functions f(x) = 1/(2 sin 3x) Solution In order to find the domain, let us equate the denominator to 0 2 sin 3x = 0 sin 3x = 2 This is impossible, because the minimum value of sin is 1 and maximum value is 1–1 x 2 4 y 021 Mathematics Learning Centre, University of Sydney 5 State its domain and range Solution The function is defined for all real xThe vertex of the function is at (1,1) and therfore the range of the function is all real y ≥ 1 12 Specifying or restricting the domain of a functionY = f (x) = (1 − x 2) 1 For range, y = (1 − x 2) 1 ⇒ y − y x 2 = 1 ⇒ y x 2 = y − 1 ⇒ x 2 = y y − 1 ⇒ x = ± y y − 1 ∴ y = 0 The term under the root has to be positive casei caseii
Find the domain and range of the function f(x) = (x^2 9)/(x 3) asked in Sets, Relations and Functions by RamanKumar (499k points) sets;So, the domain of the function f(x) is (∞,∞) Now to find the range, say f(x)= y, which gives x²9=y² or, x= ±√(y²9) Since x is a real number, y²9 must be positive or, y²>9 which gives y ∈ (3,∞),since y>0, which is the required range of f(x)To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW Find domain and range of `f(x)=x/(1x^2)`
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Range of arccot(x) View more examples »Algebra Q&A Library 1 find the domain and range of f(x) = 2 cos3x 1 find the domain and range of f(x) = 2 cos3x close Start your trial now!For the reciprocal squared function latexf\left(x\right)=\frac{1}{{x}^{2}}/latex, we cannot divide by latex0/latex, so we must exclude latex0/latex from the domain There is also no latexx/latex that can give an output of 0, so 0 is excluded from the range as well Note that the output of this function is always positive due to the square in the denominator, so the range
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Find The Domain And Range Of 1 Sqrt X X Youtube
This is the Solution of Question From RD SHARMA book of CLASS 11 CHAPTER RELATIONS AND FUNCTIONS This Question is also available in R S AGGARWAL book of CLASSOLUTION find the range and domain f (x)=1/x2 Question find the range and domain You can put this solution on YOUR website!What are the domain and range of the realvalued function f(x) = −3x 2 6x 1?
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Example 1 Find the domain and range of the function y = 3 x 2 Graph the function on a coordinate plane The graph is nothing but the graph y = 3 x translated 2 units to the left The function is defined for all real numbers So, the domain of the function is set of real numbersThis is a revised answer!First week only $499!
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The range is the set of all valid values Find the domain and range of f (x)=x2/1x2 Domain of the function is where the function is defined The given function X R Let fx y y x1x2 x y1 x2 yx2 x y 0 This is quadratic equation with real roots Find the domain and range ƒx 1 x2 Maintain the following steps 1Solution for 1 find the domain and range of f(x) 2 cos3x Find the domain and range of the real function f(x) = x/1x^2 ━━━━━━━━━━━━━━━━━━━━━━━━━ ️Given real function is f(x) = x/1x^2 ️1 x^2 ≠ 0 ️x^2 ≠ 1 ️Domain x ∈ R ️Let f(x) = y ️y = x/1x^2 ️⇒ x = y(1 x^2) ️⇒ yx^2 – x y = 0 ️This is quadratic equation with real roots ️(1)^2 – 4(y)(y) ≥ 0
Domain And Range Of Quadratic Functions Video Khan Academy
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