3. Solve f(g(-2)) if f(x): and g(x) = 8 + 5x 3 + 2x

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

A:

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

A:

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: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: D. f(x) = In x + 2e - 3x2

A:

Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

A:

Q: Find the smallest solution to f(x) = 3|x - 5| =9

A: Given,         f(x)=3|x-5|=9

Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: Given that f(x) 2x+7 %3D 3x-5' determine the equation of f-(x)

A: The given function is fx=2x+73x-5. Let fx=y. y=2x+73x-5 Replace x and y as follows. x=2y+73y-5

Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

A: We have to solve for the function f(x) when f(x)≥0. Given function -  f(x)= x2 + 6x - 7x2 -10x + 25

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

A:

Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: How would you solve for f(x)=x2+6 g(x)=2x+3 (gof)(-2)

A: Given, f(x)=x2+6   g(x)=2x+3  We have to find g∘f-2

Q: If f(x) = 3x + 2 and g(x) = x - 5, then what does (fg)(0) equal?

A: Given that:   The function, fx=3x+2,       gx=x-5

Q: 15 f'(x)= 6x° +8x³ - x and the initial condition f (-1)=- 2

A:

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

A:

Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: 10.Given f(x)=2x-3 and g(x)= x² + 1, solve f[g(x)]

A: We have to find fgx where functions are given as: fx=2x-3 and gx=x2+1. Here we have to find…

Q: If f(x) = x³ – 2.x² +3 , the only point where f could change the concavity is 2 b) x =- 3 a) x =- c)…

A: Finding the inflection points

Q: 6. Given f (x) = 6x – 4, solve for x for which f (x) = 7 -

A: For the given f(x), equate f(x)=7.

Q: Find the general solution of the DEs 1- f"(x)= y"(x)=12x +6x-8

A: The given differential equation is a second order differential equation so we will first reduce its…

Q: Show that the function f(x)= x^3 − 15x + 1 has three zeros in the interval [−4, 4]. Do not solve for…

A: The given function is f(x)=x3−15x+1The interval is [−4, 4].To show that f(x) has three zeros in this…

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

A:

Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

A:

Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

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: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: 2. Let f(x) = 16x 4x and g(x) = 18x + 3. Solve for x when f(x) = g(x)

A: We will solve for x when f(x)=g(x)  in the following step.

Q: 2 Given that f(x) = 4x – 7 and g(x) = 4 – a?, calculate (a) f(g(0))=| (b) g(f(0))=|

A: Answer(a): The given functions are: fx=4x-7 and gx=4-x2. Then, the composition function is given as:…

Q: Suppose g(x) = x² +2, then g(x+h) will yield to A x+2xh+h2+2 B x²+2xh +h+2 x2 +2xh +h2 +2 x²+2x+h?…

A:

Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!

A:

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 0, xS3 F(x) = -k x2 3

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

A:

Q: Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2) = 239, f(-3) = 254

A: f''x=60x3+24x2 take integration  ∫ f''x=∫ 60x3+24x2dx f'x=∫60x3dx+∫ 24x2dx f'x=60x44+24x33+C…

Q: If g (x) = 3x² + 12x – 96 on the interval [-8, 4]: What value of C satisfies Rolle's theorem?

A: here we have to use the result of the Rolle's theorem.

Q: 13. The domain of f(x)=3x+5+2x' is 14. The range of f(x)=3x+5+2x' is 15. What is the value of the…

A: We have to find domain

Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

A:

Q: Solve f"(x) for a)x^4-3 b)x^3-2x c)(1/2)x^4-3x^2+4x d)x^2-(1/2)x-2

A: As per Bartleby guidelines we can solve the first three subparts only. If you need more answers…

Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

A:

Q: What type of equation is g(x)=x^2-1

A: We have to find what type of equation

Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: how would I solve Suppose f(x)=7(2.1)^x and g(x)=56(1.3)^x. Solve f(x)=g(x) for x?

A:

Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) » (gof)( x + 8 If f(x) = 3x – 8 & g(x) = then find…

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Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

A:

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

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Q: Solve for f(g(x)) and g(f(x))

A:

Q: Which of the following functions is NOT a solution of x" - 4x + 4x = e¹?

A: