If g(x) = 2x + 10 and h(x) = 3x - 2,                        3 Find: - g[h(x)] = and express in its simplest form

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let Ax) = x³ + 9x² – 6x + 2. Find f (x) and f"(x), and then solve f"(x) = 0.

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Q: -4x + 11 g(x) = %3D x - 2

A: To solveg(x)=-4x+11x-2

Q: Given f(x)=2x^2+1 and g(x)=8x-9 Solve for (fof)(-2)=

A: Given: f(x)=2x2+1 and g(x)=8x-9. Now, we need to solve for (fof)(-2).

Q: 1. f(x) = x3- 3x2 -9x-5

A: NOTE- Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Given h(x) = (-x² – 2x – 2), find h' (0)-

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Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: f(x) = x²e-3*,

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Q: find domain V2 + x 65. g(x) 66. g(x) 3 - x 2r2 + x - 1 67. g(x) = V – 6x 68. g(x) = Vx² – 2x – 8

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Q: Solve for g'(x).

A: Theorem used:

Q: Find the domain of f(x)=ln(4x-20)+ln(x 2+9x+18)

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Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

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Q: 1. Solve for (f1)'(3) if f(x) = x³ + x +1

A: Recall:  d(f-1(a))dx=1f'(b)                ................(1) How to find Derivative of the…

Q: f(x) = -x2 + 4x – 3

A: answer of given question is in next step

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

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Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

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Q: 9) fx)--2x+1 g(x)-3x x -1 Find (g (x)

A: Given: f(x)=-2x+1 g(x)=-3x2-x-1

Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

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Q: given f(x)=x^2-6x+8 and g(x)=x-2 solve f(x)=g(x) using a table of values. show your work

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

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Q: Given f(x) = 3x° + kx – 10, and x – 2 is a factor of f(x), then what is the value -- of k?

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Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

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Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: Find f by solving the initial-value problem. f'(x) = 9x² + 6x – 9; f(2) = 5 - f(x) %3D

A: Given,  f'x = 9x2+6x-9  f2 = 5  We have to find  fx

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

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Q: The value of x which satisfy 3x + 1| < - is : 5.

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Q: 8) f(x) = 2x + 5; g(x) = 3x - 1 Find bo

A: Givenf(x)=2x+5g(x)=3x-1

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

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Q: Find the point(s) of intersection. f(x) = 2x2 − 7x − 18 and g(x) = 3x + 10

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Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

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Q: 2. f(x) = (8x³ – 7x)(7x¬ + 5x³) at x = -1

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Q: f(x)=x^4-x^3-12x^2

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Q: Find the local extremum  f(x)=x3+3x2-9x+6

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Q: x°-x°+4x* -6x°+2n²- 8x t8=0 Solue for x,

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Q: g(x)=-3x^2-x+3, solve g(x)>0

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Q: Given f(x)=2x @ g(x)=3x+4,solve for (g o f)(x)

A: Given- fx = 2x, gx = 3x + 4 To find- Solve for g∘fx

Q: How do you find X in this problem?

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Q: (x) = x² - 2x - 5 8CX=6x-1 N of G

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

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Q: - g(x) = -2(x+1)+3 arent: ransformations:

A: Given : g(x)=-2 (x+1)2+3 We have to write the parent function and transformations.

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

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Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

Q: с. X-3 -3)x' +x² -1- -14x+3 x -1 d. X-1

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Q: f(x) = x2 + 4x – 5, x < -2 -

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Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

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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

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Q: F(x) = 2x^3 -11x^2 -7x+6 and X=-1 is a solution,

A: Put value in function if get 0 then this the solution

Q: a) f(x) =(5x + 3)(7x² - 2) using the product rule b) f(x) = (3x? - 5) using the chain rule c) f(x) =…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.