Find the derivative of the following, using first principles a) 2x2 b) x3 c) 8-x2

Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

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Q: The functionf is one-to-one. Find its inverse. 5 18) f(x) - 4x +3 18) A) x) =5-3x B) flx) = 4x 3x -…

A: We have to find inverse

Q: Use the equation (x-6)(x+7)/(x+3)(x+4)(x+7) for the following a) what does f(x) approach as x moves…

A: The Given equation is: f(x) = (x-6)(x+7)(x+3)(x+4)(x+7)

Q: Can you please do (f), (g), (h), and (i)?

A: (f) The random variable X follows the probability density function f(x).

Q: Given f(x) = 3x² + 2, find: a. f(4) C. f(x+2) b. d. (²)

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Q: find (f-g)) wherefa)=-7x²+ 8n-4 and g (x) =-11x+2-1Mx²

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Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: Use algebraic manipulation to prove that (x + y) · (x + ) = x

A: We need to prove that:Solving the Left Hand Side,Now, right Hand side,

Q: Perform the indicated operation 51. If f(x)=x²-5 and g(x)=2x-3 find: axf+g)(x) @bxf-9xx) c) (f.…

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Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: Let f(x) = 9x + 7x2. Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

A: The objective of this question is to compute the difference quotient of the function f(x) = 9x +…

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

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