eorem for f(x)

Q: If f and g are differentiable at a , then f (x) + 4g (x) = I (x) + g (x)]. True False

A: Here, the given statement is  If f and g are differentiable at a, then ddxf(x)+ddxg(x)=ddxf(x)+g(x)

Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: Define f(x) = 2 – 3x? What is the domain of this function? (-00, 2) (-00, 2] [-3, 0) (-x0, 0) [0, 0)

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Q: How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they…

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Q: U.S. AIDS Deaths The function D defined by D(x) = 2375x² + 5134x + 5020 models AIDS deaths x years…

A: Given function is Dx=2375x2+5134x+5020. Here x = 0 represents the year 1984.

Q: la + h) – (a) If f(x) = x? + 3x – 1, find h

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Q: 1 Let f(x) x + 7 f-'(x) =

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Q: 2. (3 marks) be the functions defined by f(x) = x² – 5 and g(x) = vx-5. Find (b) (fog)(- 5) Let f…

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Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

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Q: f(x) || 1 x² + 1

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Q: Consider the function f(x) =/5x-25 for the domain 5, 0). 1 Find f(x), wheref is the inverse of f. -1…

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Q: Evaluate L{3e cost cos 8t}.

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Find f (x) * g(x) when f(x) = x and g(x) = x².

A: Here I am attaching image so that you understand each and every step.

Q: x2 – 4 x2 - 9 Consider the function f (x) a) Find f' and f" and simplify both.

A: Given,           fx=x2-4x2-9

Q: Plz answer neatly and clearly Thanksss

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Q: Differentiate. y =x° In x- dy II

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Q: Use PMT= PA to determine the regular payment amount, rounded to the nearest cent. The cost of a -nt7…

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Q: Assuming f of g = 1/x + 1 and if g(x) is x +1. Find f(x)

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Q: y y = f(x) 8

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Q: Determine f,(x); f(x) = x2*, x > o

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Q: What is the value if a so that f(x) has a slant asymptote of y = x + 3. x²+ax+5 What is the limit of…

A: Given: fx=x2+ax+5x+1 We know that slant asymptote is possible when the degree of the polynomial in…

Q: The functions q and are defined as follows. g(x) = -2x+2 r(x) = -x² - 1 Find the value of g (r (5)).…

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Q: F(x) =/4 – Vx

A: Given data is : fx=4-x     To find domain and range of function fx

Q: Evaluate f(x) = x³ +6x, (fof)(3) = ? 045 ୦୨୦ 91,395 2025

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Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

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