Let f(x) = { 3x² + 2, بی کر 2x - 3, if x < 3 if x ≥ 3 be a piecewise function. Evaluate 3 √₁³ f(x) dx = Sö

Q: If f(x)=/2x-3. Find f" (x). Also find the domain and range of f"(x)

A: Solution:Given      f(x)=2x-35To find f-1(x) Also find the domain and range of  f-1(x)

Q: 6) Differentiate: a) f(x)= 5x-3 +1)

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Q: 4

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Q: f(x+h) = √x+htt' - √XTY'

A: Given:- fx+h-fxh=x+h+4-x+4h

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: 10. Differentiate each function. a) y= -3x² + 4x – 5 b) f(x)=6x¬1- 5x=2 O f(x)= 4Jx

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Q: Let f(x) = 5x^3 + x + 1. If f(2) = 43, then (x − 2) is a factor of f(x).

A: f(x) =5x3+x+1

Q: A quadratic function is defined by f(x) =x^2+(k+2)x-12 where k is a constant. It is given that the…

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Q: For f(x)=x+6sqrtx, find (f^-1) (55)

A: Given data: The given function is f(x)=x+6(x)1/2. The given expression can be written as,…

Q: het 5) Evaluate the Peicewise function if XLO if OLXL3 if x73 x+2. f(-5) = f(2) = %3D %3D

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Q: The function f(x)= x^2 - 6x+4 on which interval will f(x) have a root?

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Q: State the domain of f(x) =- x+3 O (e> 3} {x\x 2 3}

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Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

Q: Find the ain of the composite function f og. dom f(x) = 5x + 20; g(x) = x + 7 %3D

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Q: Given f(x)=3x^2 + 4x + 5, determine the roots of the function. Verify them with a graph.

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

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Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

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Q: Find the domain and range of the function f(x)=√12-3x^2

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Q: -2 -1 0 1 3 5 6

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