If f(x) = (5x + 16) and g(x) = (x – 12)3, find all values of x for which f(x) = g(x).

Q: Find the value of b that gives the function the maximum value of 19. f(x)=-x^2+bx+3

A: At the point of maximum the first derivative of the function becomes zero and the second derivative…

Q: If g(x) = 3x – 7 and h(x) = x², find h(g(2)).

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Q: find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

A: To find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

Q: Find the values of k for which f(x) = kx3 -9kx2+9x+3 is increasing on R

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Q: -2t x' – 5x = -e", x(0) = 3

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Q: If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

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Q: Find critical points of f(x) = 3x^2 +12x -2

A: We have to find critical points of  f(x) = 3x2 + 12x - 2  To find critical points , differentiate…

Q: The fixed-points of f(x) = (x² + 2) are_ and

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Q: f(x) = x² = x- and g(x)=x+2

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let f(x) = x² + 2x – 1 and g(x) = 2x – 4. Find 3f(x) – 2g(x). - -

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Q: Find g(-1) wheng (x) = x2 – 5x + 2

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Q: f (x) = x' - 3x -9x+1

A: Given,          fx=x3-3x2-9x+1

Q: Let  ƒ(x) = 6x2 − 2 and g(x) = x2 − 2x + 5 to find the value. ƒ(t + 1)

A: Given: fx=6x2-2gx=x2-2x+5 The objective is to find the value of ft+1

Q: f(x) = { kx+3, IF X<2 LyK-3x, IF X72

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Q: If g(x) = x² + 6x with x 2 -3, find g(40).

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Q: If f(x) = 3x and g(x) = 2x – 3, find (fg)(-1). %3D

A: The given functions are, fx=3xgx=2x-3 We need to find the function, fg-1

Q: f³ (x) for Find g3 – 5x2 + x = f (x) -

A: Here, the given function is: f(x)=x3-5x2+x

Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

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Q: If f(x) = x - 8 and g (x) = 3x + 6 then gf(-2) =

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Q: If f(x) = 2x3 + Ax2 + 4x - 5 and f(2) = 5, what is thevalue of A ?

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Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

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Q: If f(x)=/2x and g(x)=1-x², then (gof)'(x)= %3D

A: =&gt;(g.f)(x)=g(f(x))

Q: The fixed-points of f(x) = (x² + 2); are and

A:

Q: The fixed-points of f(x) = (x² + 2) are and

A: Solution :  The fixed point of the function f(x) is  f(x) = x  Since, given function is  f(x) = 1/3…

Q: Find the general solution for: X' = là X. -3 %3D

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Q: If f(x)= 2x² + 3x +1 and g(x)= 2.x+1, find the followings: (fxg)(-2)

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Q: 2. How many, and what type, of solutions exist for the function f(x) = x - 3x- 27x + 19x² +114x-72?

A: Given: f(x)=x5-3x4-27x3+19x2+114x-72

Q: Find (gof)(x) if f(x) = 4x and g(x) = 3x+6

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Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

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Q: If f (x) = 3x + 2 and g (x) = x² - x, find the value. %3D 8(-3) =

A: Given query is to find value of g(-3).

Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

Q: Find zeros of the function: x² – 16 f(x) = 3x + 2

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Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: If g(x) = x + 6x with x < -3, find g(16). %3D

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Q: Find the local maximum and minimum values of the function f(x)=-3x2+4x+5.

A: If second derivative negative then local maximum value

Q: Determine its vertex and axis of symmetry    f(x) = 3 (x +1)^2 - 6

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Q: Differentiate.

A: given functiong(x)=x2-22x+1we have to differentaite the given function.

Q: (x) = x² - 2x - 5 8CX=6x-1 N of G

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Q: Suppose f(x) = x² + 3x and g(x) = x. Solve the following inequality using a gn analysis and write…

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Q: The fixed-points of f(x) = (x² + 2) a and

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Q: x)=x^4-2x^2-24

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Q: |b) If g(x)% = 2x + 1 find g'(x) 5x + 2

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Q: The fixed-points of f(x) = (x² + 2) a¹ are 3 and

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Q: f(x) = x2 + 4x – 5, x < -2 -

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Q: f (x) = x² and g(x) = 3x – x² Зх — -

A: Let f1 and f2 are the two function of two curve .Then area between them         A = ∫lower…

Q: Find the points of discontinuity for 3(x+2)2 a) h(x) x3 + 4x2 + x- 6 6x- x2 b) f(x) = 9 - x2

A: