Given f(x) dx = 6 and g(x) dx = -4, evaluate the following. %3D (a) [f(x) + g(x)] dx (b) [g(x) – f(x)] dx (c) 2g(x) dx (d) 3f(х) dx

Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

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Q: If ​f(x)= 2x2 −5x+3​, find f′(3).

A: To find f'(3)

Q: f(x) = xe-2x

A: Step 1: Step 2: Step 3: Step 4:

Q: f(x)=-6x+3 find f(1/2)

A: Given: fx=-6x+3 To find: f12

Q: f(x)=4x-x2. Simplify f(a+h)-f(a)/h

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Q: If f(x) dx = 5x³ – 7x6 + C, find f(x). f(x) =

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Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

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Q: f(x) = 9 – x2 (a) f(x + h) – f(x) f(x + h) – f(x) (b) h

A: Put x=x+h in f(x)

Q: Find f(9(x)) when f(x) = 2x +1 and g(r) = 2? +

A: On solving this we will get

Q: 1 and g(x) x – 7 Let f(x) +7. Find and simplify the following: (a) (ƒ o g)(x) (b) the domain of (ƒ o…

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining question…

Q: Find the inverse of f(x) = 2x + 7.

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Q: 4a+ax/x)=f a=

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Q: If  f(x) = 4x2 − x3,  find  f ′(x),   f ″(x),   f ‴(x),  and  f (4)(x)

A: Topic- derivative of a function We are given, f(x) = 4x2 − x3 and we know thatddxxn=nxn-1