Odd functions If f ( x) is an odd function, then for every x and − x in the domain of f, − f ( x) = f ( − x) Graphically, this means that the function is rotationally symmetric with respect to the origin Thus, rotations of 180 ∘ or any multiple of 180 ∘ do not affect the function's appearance Good examples of odd functionsNot a problem Unlock StepbyStep Extended KeyboardSolution for g (x)=3f (x2)1 equation Simplifying g (x) = 3f (x 2) 1 Multiply g * x gx = 3f (x 2) 1 Reorder the terms gx = 3f (2 x) 1 gx = (2 * 3f x * 3f) 1 gx = (6f 3fx) 1 Reorder the terms gx = 1 6f 3fx Solving gx = 1 6f 3fx Solving for variable 'g'
Example 16 Let F X X2 And G X 2x 1 Find F G Fg F G
F(x)=x^2 what is g(x) (3 3) apex
F(x)=x^2 what is g(x) (3 3) apex-Experts are waiting 24/7 to provide stepbystep solutions in as fast as 30 minutes!* · 2something 3 = 8x – 1 Hmmthere's gotta be a 4 x in the something otherwise i'll never get 8 x But if it's just 4 x in there then I'll end up with 8 x 3, not 8 x – 1
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F (x) = 2 x^2 3 x 5, f (x 3) 3 = g (x) WolframAlpha Rocket science?F (x)=3x^2 g (x)=x1 Now f (g (x))= 3×(g (x))^2 f (g (x))= 3× (x1)^2=3x^2–6x3 g (f (x))= fx1 g (f (x))= 3x^2–1/12/ · Theorem 541 The Fundamental Theorem of Calculus, Part 1 Let f be continuous on a, b and let F(x) = ∫x af(t)dt Then F is a differentiable function on (a, b), and F ′ (x) = f(x) Initially this seems simple, as demonstrated in the following example Example 541 Using the Fundamental Theorem of Calculus, Part 1
F (g (2)), g (x)=2x1, f (x)=x^2 \square!F (x) = 3/ (x1), g (x) = 2/x f (x) = 3/ (x1), g (x) = 2/x Watch later Share Copy link Info Shopping Tap to unmute If playback doesn't begin shortly, try restarting your device · Stepbystep explanation (fg) (x) = (x² 2x 3) (x³ 4) = x²* (x³ 4) 2x* (x³ 4) 3 * (x³ 4) = x²*x³ x²*4 2x*x³ 2x* (4) 3*x³ 3 * 4 = x⁵ 4x² 2x⁴ 8x 3x³ 12 = x⁵
Given f (x) = 3x 2 – x 4, find the simplified form of the following expression, and evaluate at h = 0 This isn't really a functionsoperations question, but something like this often arises in the functionsoperations context This looks much worse than · Ex 13, 1 Deleted for CBSE Board 21 Exams only Ex 13, 2 Deleted for CBSE Board 21 Exams only Ex 13, 3 Important Deleted for CBSE Board 21 Exams only You are · 👍 Correct answer to the question The graph of g(x) shown below resembles the graph of f(x)=x^4x^2 but it has been changed somewhat just did it on apex answer is f(x)=x^4x^22 eeduanswerscom
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· Explanation f (x) = x −3 g(x) = x2 To find f (g(x)), plug in x2 wherever you see x in f (x) f (g(x)) = x2 − 3 f (g(4)) = (4)2 − 3 = 16 − 3 = 13Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor · (fg) (x) = x^2 x 2 Solution FOR THE OPERATION OF SUBTRACTION Given f(x) = X2 g(x) = x^2 4 Formula f(x) g(x) = (fg) (x) (fg) (x) = X2 – (x^2 4) (fg) (x) = X2 –x^2 4 (fg) (x) = –x^2 x 6 Solution FOR THE OPERATION OF MULTIPLICATION Given f(x) = X2 g(x) = x^2 4 (f*g) (x )= (X2)(x^2 4) (f*g) (x )= x^3 – 4x 2x^2 8
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· We have g(x) = f –1 (x) ⇒ f(g(x)) = x ⇒ f'(g(x))g'(x) = 1 (i) Now, f(0) = 1 From (i), we get, f'(g(1))g'(1) = 1 Thus, g(1) = k = 0For the given functions of each composite functions f and g, find f of g, g of f, f of f, g of g · Question What is (fg)(x)?
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23 Solve g3f = 0 Tiger recognizes that we have here an equation of a straight line Such an equation is usually written y=mxb ("y=mxc" in the UK) "y=mxb" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis In this formula y tells us how far up the line goesReplace the x in the f(x) equation with the value of g(x) to get (x3)cubed 2That's it When you write f(x) = x3 2 That means x can be any number, equation or function and whatever that value is, it goes into x3 2 · Answer star 48 /5 heart 18 crisforp ( f g ) ( x ) = f ( x ) g ( x ) = 2^x1 3 5x 9 = 2^x1 5x 12 ;
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F (x) = x 2 g (x) = 2 x f (g (x) = {g (x)} 2 ⇒ f (g (x) = {2 x} 2 = 2 2 x g (f (x)) = 2 f (x) ⇒ g (f (x)) = 2 x 2 g o f (x) = f o g (x) 2 x 2 = 2 2 x ⇒ x 2 = 2 x x 2 − 2 x = 0 x (x − 2) = 0 x = 0, 2//socraticorg/questions/howdoyoufindthedomainofgxxx1x3 Shura May 12, 15 The answer is \displaystyle {D}=\mathbb {R} {\left\lbrace {3};Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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