f(x)=1/x-7 and g(x)=1/x-1 then the domain of f o g is equal to all reals except for two values , a and  b with a less than b  a= b=

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

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Q: 1) Find the absolute extremum values of f(x) = x² – 4x + 16 over the interval [1, 4].

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Q: 8 2. Find the absolute extrema, if they exist, as well as where they occur for f(x) = 2x + + 1, x >…

A: Given function  f(x) = 2x + 8/x2 + 1      , x>0  To find the absolute extrema, let's find the…

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

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Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: The function f(x) = 2x³ - 39x² + 216x 3 has two critical numbers. The smaller one is x = and the…

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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: 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: The function f(x) = 2x^3 - 27x^2 + 108x - 4 has two critical numbers. The smaller one is x = ? And…

A: Hereupon plotting we can see that horizontal tangent can be drawn at points x=3 and x=6.  Note: The…

Q: What is the minimum value of F(x) = -4 sin

A: Answer and explanation is given below...

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

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Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

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Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O…

A: As per guidelines we are bound to solve first question only... Thank you

Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: Determine values of constant real numbers a and b so that the function below is differentiable at x=…

A: To Determine: find the values of constant real numbers a and b so that the function below is…

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: The function f(x) = 2x° 39x + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Topic = Derivative

Q: Suppose f(x) = v9 +x - Vx – 6. Find all x-values satisfying the equation f(x) = 3. %3D

A: Given Data: Function: fx=9+x-x-6 Condtion: fx=3 Use substitution method to find the values of x for…

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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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: 2x +8 -5<x<-1 5. Find all x-intercepts of the function g(x)={-}x-4 -4x+10 -1<x<1 algebraically.…

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Q: 4. Find the absolute extreme values of f (x) = x²/3 (4 – x²) on the interval [-2, 2].

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Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

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Q: find all critical numbers of the function f(x)= 4x^4-42x^3-360x^2+35

A: Given, f(x)=4x^4-42x^3-360x^2+35

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: on points of f(x) = 4xª + 38x³ – 30x² + 10. (Give your list e g 3.-2) answ

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Q: Find all the critical numbers for the function g(x) = ¼ x4 - x3 - 5x2

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Q: The function f(x) = (6x + 3)e-6a has one critical number. Find it.

A: Given: f(x) = 6x + 3 e-6x To find: Critical number  Proof: We will differentiate the function w.r.t…

Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal…

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Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal…

A: We need to choose correct options.

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

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

Q: Find the absolute extremum values of f(x) = x² – 3x + 8 over the interval [1, 3].

A: First we find critical value and then use first order derivative test.

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

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

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Q: 1) Find the absolute extremum values of f (x) = x² – 4x + 9 over the interval 1,4| -

A: Given,  fx = x2-4x+9    We have to find the absolute extremum values in the interval 1, 4

Q: Find all critical points of f(x) = 2x³ + 2x-. (Use symbolic notation and fractions where needed.…

A: First, we find f'(x) using the power rule

Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 10 over the interval [1, 3].

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Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

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Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

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Q: • The domain of f(x) 3-х is 1-x2 1. R 2. R/{1,-1} 3. R/{3} 4. (0, co)

A: Domain: The domain of the function is defined as the set of all input values for which the function…

Q: If f(x) = 3X, then f'(x)= 3TX A In 3 3TX B In 3 1(3Tx-1) D TIN3(3 )

A: We have to solve

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?

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Q: The function f(x) = (6x + 9)e-6z has one critical number. Find it.

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Q: Find the critical numbers of the function. f(x)=32x-2x^2 x=

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Q: Use the function of f and the given real number a to find (f-1)'(a). f(x)=(x+5)/(x+1),     x > -1,…

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Q: Find the absolute maximum and minimum of the function f(x)=x^3-9x^2+15x+42 on the interval 0 is less…

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