If a and b are real numbers and f(x) and g(x) are differentiable functions such that fla)=g(a)=1, fb)=g(b)= 3 and rwlg(x)-gx}fx) for all x, then

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: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: Let f(x) = (x-9)7 – 8, determine f¯¹(x). - ƒ¯¹(x) =

A: To find the inverse of the function f(x) = (x - 9)7 - 8, we need to express x in terms of y, where y…

Q: Is there a real function f(x) that is differentiable only at a point x?

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Q: a+5 If f(z) = 3z-5 and g(z) = 3 %3D (a) f(g(z)) = (b) g(f(z)) = %3D (c) Thus g(z) is called an…

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Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: For what value of x is f ( x ) = 0 ? ( - 2, 0 ) ( 0, 2 ) ( 1, 5 ) ( 3, 6 )

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Q: b) The difference of two real-valued functions f and is defined by f – g := f + const_1 · g. That…

A: b) We want to express the given definition of the function in terms of two indicator functions. Let…

Q: Let X=[-1,1] and Y=[0,1], and define the function f:X-->Y by f(x)=x^2. Which of the following is NOT…

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Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

Q: f(xh) fx) - , h 0, for the given function f Find the difference quotient h f(x) _

A: The given function is:

Q: Two functions f, g are defined as follows: Find a) ƒ-¹(2) b) (gof)(-4) f(x) = 3x + 5 g(x) = 2(1-x)

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Q: Let f(x, y) = Evaluate f(5,5) 175 - 3x² - 4y2

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Q: PLS HELP ASAP ON ALL

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…