Let f(x)=X? and gaFX+, find: (fog)(x)= (gof)()= (fog)(-2)- (gof)1-2) = %3D

Q: Let h(x) = f(x) – g(x). If f(x) = 5x² and g(x) = 2x³, what is h' (1)?

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Q: If f(16x*- 16x³ + 4x²)dx = F(x) + C, then F(x) %3D

A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2…

Q: 3. Find f'(x) for f(x) = v5 + e2x xe2x-1 А. V5+e2x 1 2v2e2x С. 5+ e2x e2x D. V5+e2x V5+e2x B.

A: In this question, concept of chain differentiation is used in this question.

Q: If f (x) = (e²)² , what is f'(x) ?

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

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Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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Q: (b): Let f(x) V3x +9 and g(x) = 2x + 6 find fog(x) and gof(x).

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Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

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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: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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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: (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: 9. If f(x) = e3x, then (f-1)'(x) = %3D 2 А. e3x В. e3x 1 С. 3e3x D. 3x

A: Given: y=e3x for finding given derivative, first we find inverse of given function for that we take…

Q: 8. f(x) = 2x +9x + 4 x² -16 a) HA at b) VA at (2x+1)(x+4) (x+4)(x-4)

A: From the given function: fx=2x+1x+4x+4x-4 As we know that for vertical asymptotes , equate…

Q: 9. If f (x) = e3*, then (f-1)'(x) = %3D 2 А. e3x e 3x 1 С. 3e3x 1 D. 3x B.

A: Given function is fx=e3x. To find: f-1'x Solution: To find inverse of the function, we will replace…

Q: f(x)=−4x+4​,g(x)=−5x2+5x−4​,andh(x)=−3x2+8​, find h(−1​).

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Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

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Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

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Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

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Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

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Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) , (gof)(-

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Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

Q: The function f(x) = 2x³ – 21x² + 60x – 7 has two critical values. The smaller one equals and the…

A: The given function is f(x)=2x3-21x2+60x-7

Q: 12. Given f(x) = 2x3 + 11x + 2 and g(x) = x³ - 2x2 + 7, find (f - g)(x). %3D A. x3-9x2 + 11x + 9 B.…

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Q: Find Df,Rf/f(x). X 3 √x + √ X

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Q: . What is F(/3) if C = 0?

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Q: Find the antiderivative of f(x) f(x)=2sec2 (x)-3x-6

A: Given: f(x)=2sec2x-3x-6let the antiderivative of f(x) = F(x)then,F(x)=∫f(x)dx

Q: f(x)%3D4×+2x2 - x³ for -5 <x s 5. |

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Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: If f(x) = 5x4-2x³-x²+3x - 1, then | f'(0) = %3D d2 f(0) = dx f"(x)= d4 dx 4

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Q: Find fogo h. f(x) = x* + 8, g(x) = x – 6, h(x) = Vx

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Q: 2. For what values of x is y = 150x - 2x3 an increasing function?

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Q: (So g)(x) is

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Q: Find fogo h. f(x) = x – 8, g(x) = /x, h(x) = x – 8 %3D

A: Given that: f(x)=x-8g(x)=xh(x)=x-8

Q: |3D ] B3(a): Find the critical points of the function f(x)= 7x² – 14x.

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

Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: Let h(x)=f(x)−g(x). If f(x)=5x2 and g(x)=2x3, what is h′(1)?

A: Consider the given functions, fx=5x2 and gx=2x3 Since it is given that hx=fx-gx so substitute the…

Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

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Q: Let f(x):4x1 and gx):3x+x find the Value of X for Which (fog) (x)=(30f)x

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Q: 5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) =…

A: Profit function from cost and revenue function

Q: (fog)(x). f(x)=x2+4 and g(x)=x2-7

A: Given data:   The first function is f(x)=x2+4. The second function is g(x)=x2-7.   The expression…

Q: Which is equal to (2) (x) given that g(x) = 1 – 3x and h(x) = Vx? Vx – 3xVx 3x/x - Option 1 Option 2…

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Q: In(x² + y² – 9) V25 – x2 – y? - Sketch the domain of f(x, y) -

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

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: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: f (x) = x² – 3x + 9 g (x) = 3x³ + 2x² – 4x – 9 - Find (f – g)(x). Select one: a. –3x³ – x² + x + 18…

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

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…