Now, if we plug in 2x to this we get g (2x) = 4x^22x Clearly that's not right, so we need to adjust To make f (x) equal g (x), we must need to change each individual term to be the same To this most simply, multiply the x^2 term by 1/4 and the x term by 1/2 This will give us g (x) = 1/4 (x^2)1/2 (x) Let's checkAns 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 WeSOLUTION If f(x)= x2/x1, then f(n1) is equal to A)1/2 b)n2/n1 c)n1/n2 d)n1/n2 Algebra > Rationalfunctions> SOLUTION If f(x)= x2/x1, then f(n1) is equal to A)1/2 b)n2/n1 c)n1/n2 d)n1/n2 Log On Algebra Rational Functions, analyzing and
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If f(x)=x-1/x 1 then f(2x) is equal to-• (a) The kth derivative of ex is ex, which is equal to 1 at x = 0, so the kth Taylor coefficient of f(x) = ex at zero is ak = f(k)(0) k!If a horizontal line intersects the graph of f(x) in more than one point, then f(x) is not onetoone The reason f(x) would not be onetoone is that the graph would contain two points that have the same second coordinate – for example, (2,3) and (4,3) That would mean that f(2) and f(4) both equal 3, and onetoone
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Answer to For the function defined by f(x)={x^2, x less than equal to 1 2x1, x greater than 1} Define f(0) and also draw the graph for f(x)?If 2f(x) 3f(1/x) = x2 (x ≠ 0) then f(2) is equal to A \(\frac{7}{4}\) B \(\frac{5}{2}\) C 1 D None of these Two forces having magnitudes 3F and 2F, when act in the same direction simultaneously on a body, the net force is equal to 25 N Find the value of F If f (x) = 2x 1 and g(x) = (x − 1) / 2 for all real x, then (fog)^ (–1) (1/x) is equal to asked in Sets, Relations and Functions by Maahi01 (
If 2f (X) − 3 F ( 1 X ) = X 2 (X ≠ 0), Then F(2) is Equal to (A) − 7 4 (B) 5 2 −1 (D) None of These Department of PreUniversity Education, Karnataka PUC Karnataka Science Class 11 Textbook Solutions 71 Important Solutions 3 Question Bank Solutions 51 Concept NotesIf F ( X ) = Log ( 1 X 1 − X ) , Then F ( 2 X 1 X 2 ) is Equal To(A) {F(X)}2 (B) {F(X)}3 2f(X) (D) 3f(X) Department of PreUniversity Education, Karnataka PUC Karnataka Science Class 11 Textbook Solutions 71 Important Solutions 3 Question Bank Solutions 51 Concept Notes & Videos 531 Syllabus Advertisement If the derivative of \(\dfrac{e^{3x} e^x}{e^{4x} e^{2x} 1}\) if f(ex ex) C, then f(x) is equal to Q7 Let f be a differentiable function defined for all x ∈ R such that f(x3) = x5 for all x ∈ R, x ≠ 0
Here'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 thisIf f (x) = 3/x 2 and g (x) = 1/x, then f compositefunction g)(x) is equal to (a) 3x/1 2x (b) 3x/x 2 (c) 3/x 2 (d) 1 2x/3 x (e) none of these If (3, 5) is a point on the graph of y = f(x), what are the coordinates of the corresponding point on the graph of y = 2f (x 3)? the blue line is the graph of #f(2x1)#, so here, the equation of #f(2x 1) = 2x 1# this is only true when #f(x) = x 2# , which is the graph shown in red Answer link
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David Joyce , Professor Emeritus of Mathematics at Clark University Author has 45K answers and 44M answer views Given F (2x1) = x2 Put 2x1 = y=> x = (y1)/2 Hence F (y) = (y1)/2 2 = (y5)/2 So F (x) = (x5)/2 So F (x3) = (x35)/2 = (x8)/2 65K views যদি `f(x)=(x1)/(x1)` তারপর `f(2x)` সমান Prove that the area of an equilateral triangle is equal to where is the side of the triangle In Figure, is a trapezium in which isIf f (x) = x1/x1 then f (2x) is ?
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If f(x) = x 2, where x denotes the greatest integer less than or equal to x, then f'(25) is equal to If f(x) = 2 2x – 1 and ∅(x) = – 2 x 2x log 2 If f '(x) > ∅' (x), then If f(x) = log((1x)/(1x)) then f(2x/1x 2) is equal to If f(x) = sin 2 x/(1 cot x) cos 2 x/(1tan x), then f'(π/4) is equal toIf f (x) = x1/x1 then find the value of f (2x) Find the answer to this question along with unlimited Maths questions and prepare better for JEE examinationIff( x 1 2x − 1) = 2x, X ∈ N, then the value of is equal to f(2) is equal to 2 If A\B = {a, b}, B\A = {c, d} and A\capB = {e, f}, then the set B is equal to 3 The function f A →B is given by f(x) = x, xϵA, is one to one but not onto Then
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Summary "Function Composition" is applying one function to the results of another (g º f) (x) = g (f (x)), first apply f (), then apply g () We must also respect the domain of the first function Some functions can be decomposed into two (or more) simpler functionsIf you mean f(x)=(2x1)/(x2), then that could be written f (x) = 2 x − 1 x 2 and then you would not need parentheses because the horizontal line functions as a grouping symbol So, to answer your question if you mean f (x) = 2 x − 1 x 2, you just plug in x=1 and get f (1) = 2 × 1 − 1 1 2 = 1• (b) The expression for the Lagrange remainder is Rn(x) = 1 (n1)!
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