Ans f (x)=x/ (x1) f (x1)= (x1)/x Hence f (a)/f (a1)=a²/ (a² 1) =f (a²) (Ans) Please feel free to post as many doubts on our discussion forum as you can If you find any question Difficult to understand post it here and we will get you the answer and detailed solution very quickly We are all IITians and here to help you in yourF (x)= {2x if x is less than or equal to 1 {22x if x is > 1 f (x) = We plot the graphs of y = 2x and the graph of y = 2x We chop off the line y = 2x at x=2 and erase the part beyond that on the right because of x < 1 tells us we can useWe set the denominator,which is x2, to 0 (x2=0, which is x=2) When we set the denominator of g (x) equal to 0, we get x=0 So x cannot be equal to 2 or 0 Please click on the image for a better understanding

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If y=f(x)=x 2/x-1 then x is equal to-Question If f (x)= x2/x1, then f (n1) is equal to A)1/2 b)n2/n1 c)n1/n2 d)n1/n2 Answer by richard1234 (7193) ( Show Source ) You can put this solution on YOUR website!SOLUTION 1 Begin with x3 y3 = 4 Differentiate both sides of the equation, getting (Remember to use the chain rule on D ( y3 ) ) so that (Now solve for y ' ) Click HERE to return to the list of problems SOLUTION 2 Begin with ( x y) 2 = x y 1 Differentiate both




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Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries Simply put, the Y=f(x) equation calculates the dependent output of a process given different inputs Here's an example of some possible values for the variables in the "breakthrough equation" In a marketing context, the outcome (Y) could equal the number of product sales, where the function (f) could be email opens from a newsletterIf X = F(T) and Y = G(T), Then D 2 Y D X 2 is Equal to (A) F ′ G ′′ − G ′ F ′′ ( F ′ ) 3 CBSE CBSE (Science) Class 12 Question Papers 1851 Textbook Solutions Important Solutions 4562 Question Bank Solutions Concept Notes & Videos 725
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Therefore, f(x 3) f(x 1) = 7^(x 3) 7^(x 1) = (7^x)(7^3) (7^x)(7^1) by one of theIn mathematics, For the multiplicative inverse of a real number, divide 1 by the number For example, the reciprocal of 5 is one fifth (1/5 or 02), and the reciprocal of 025 is 1Divide both sides by f Dividing by f undoes the multiplication by f Divide 1 by f Divide \frac {f1} {f}, the coefficient of the x term, by 2 to get \frac {1} {2}\frac {1} {2f} Then add the square of \frac {1} {2}\frac {1



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Expansion calculator if x1/x=2 then find x1/x, x^21/x^2, x^31/x^3 if xy=5 and xy=6 then find x^2y^2 if x^2y^2z^2=29 and xyyzzx=14 then find xyz stepbystep online We use cookies to improve your experience on our site and to show you relevant advertising By browsing this website, you agree to our use of cookies Transcript Example 1 If (x 1, y – 2) = (3, 1), find the values of x and y (x 1, y – 2) = (3, 1) Since the ordered pairs are equal, corresponding elements are equal Ex 12, 10 Let A = R − {3} and B = R − {1} Consider the function f A → B defined by f (x) = ((x − 2)/(x − 3)) Is f oneone and onto?




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Functions on the Real Line Overview In mathematics, a function (or map) f from a set X to a set Y is a rule which assigns to each element x of X a unique element y of Y, the value of f at x, such that the following conditions are met 1) For every x in X there is exactly one y in Y, the value of f at x;F(x 2) f(x 1) x 2 x 1 = f0(c) for some c with x 1 < c < x 2 All such f0(c) equal 0, therefore f(x 2) f(x 1) x 2 x 1 = 0 This gives f(x 1) f(x 2) = 0(x 1 x 2) = 0 and f(x 1) = f(x 2) This works for all x 1 and x 2 in the interval (a, b), hence f(x) is constant on the interval Consequence 2 If f0(x) = g0(x) at each point x in an open intervalHere's the graph Then the inverse is y = (–2x – 2) / (x – 1), and the inverse is also a function, with domain of all x not equal to 1 and range of all y not equal to –2 Find the inverse of f ( x) = x2 – 3 x 2, x < 15 With the domain restriction, the graph looks like this



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Domain RR{1,3} Range RR # To Find the domain Equate the denominator(x^22x3) to zero, then solve the equation for x rarr x^22x3=0 rarr x=((2)sqrt((2)^24*(1)*(3)))/(2*1) rarr x= 12 => x= 1 and x=3 This means that, when x=1 or 3, we have the x^22x3=0 Implying that f(x)=color(red)(x/0) which is undefined Hence, the domain is all real numbers except 1Find the right hand derivative and the lrft hand derivative of f(x)=x1, x2 =2x3, x ≥ 2 at the point x=2 and hence show that f(x) is not differentiable at x=2Our output would be ( x − 2) 2 − 3 ( x − 2) 1 Every x in the function corresponds to the input value Therefore we can write our function like this f ( x − 2) = ( x − 2) 2 − 3 ( x − 2) 1 In general, if you have f ( x) and you want to find f ( m) just replace all the x with m




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If y = log 2 log 2 (x), then dy/dx is equal to If y = log sin x tan x, then dy/dx at π/4 is equal to If y = mx be one of the bisectors of the angle between the lines ax 2 2hxy by 2 = 0 ,thenThe value of c in Lagrange's theorem for the function f ( x) = log 7 If y = 3 a t 2 1 t 3, x = 3 a t 1 t 3, then d y d x is equal to 8 If the Rolle's theorem holds for the function f ( x) = 2 x 3 a x 2 b x in the interval − 1, 1 for the point c = 1 2, then the value of 2a b is 9The points (x,y,z) of the sphere x 2 y 2 z 2 = 1, satisfying the condition x = 05, are a circle y 2 z 2 = 075 of radius on the plane x = 05 The inequality y ≤ 075 holds on an arc The length of the arc is 5/6 of the length of the circle, which is why the conditional probability is equal to 5/6




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Divide f2, the coefficient of the x term, by 2 to get \frac {f} {2}1 Then add the square of \frac {f} {2}1 to both sides of the equation This step makes the left hand side of the equation a perfect square x^ {2}\left (f2\right)x\frac {\left (f2\right)^ {2}} {4}=f\frac {\left (f2\right)^ {2}} {4}Find the Domain f(x)=2x if x=0 Since the domain of is all real numbers, the domain of this piece of the function is its restriction, Since the domain of is all real numbers, the domain of this piece of the function is its restriction, 5k views asked in Class XI Maths by vijay Premium (539 points) If (1i) 2 / 2i = xiy, then find the value of xy complex numbers and quadratic equations



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"If (x 1/x) = 1/2 , then (4x2 4/x2) is equal to " Basic operations, simple factors, factor Theorem, Remainder Theorem, Division of polynomials If f(x) = cos (logex), then f(1/x)f(1/y){f(xy)f(x/y) is equal to A cos (x – y) B log (cos (x – y)) C 1 D cos (x y) asked Jun 4 in Sets, Relations and Functions by rahul01 (A function may be thought of as a rule which takes each member x of a set and assigns, or maps it to the same value y known at its image x → Function → y A letter such as f, g or h is often used to stand for a functionThe Function which squares a number and adds on a 3, can be written as f(x) = x 2 5The same notion may also be used to show how a function affects particular values



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