The inverse of the function f(1) is f-(z) =. %3D O (5z – 9) (1+1) O (5x – 9) (5 – z) (1 – z) (5z +9) (5x+9) (1 – 2) D (5z + 9) (1+x) |

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

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Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: 4. f (x) = 5 - x and (gof) (x) = x2-10x + 30 since the function g(x) is the following- which is…

A: The solution is:

Q: Increasing and decreasing functions Find the intervals onwhich f is increasing and decreasing.…

A: Given: fx=4-x2, fx=x2-16, fx=x-12 We know that any given functionfx is increasing in a interval if…

Q: 4. Given f(x) = 2x +1; g(x) = 5x - 3. Find the product of f and g. A. 10x+x-3 B. 10x-x+3 C. 10x +x+3…

A: We find out the product of f(x) and g(x).

Q: Find (f/g) (n) when f(n) = x^2 - 3x - 4 and g(n) = x + 1 _____________________ A. x + 2 B. x - 1 C.…

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Q: (r-1) (x-1) If f(x) = (2x+5) and g(x) = then the function (2) (x) is (2x-5) (2x+5) a) (E) (x) =…

A:

Q: a. f(x) = e-6x about x = -4 b. f(x) = ln(3+ 4x) about x = 0 c. f(x) = – about x = -3 d. f(x) = 7x² –…

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Q: 1. A x)-3 x+2 and g x) - 20+5. Find fo g(5) 2. A x) - 2 x-4 and g( x)-2x+ 8. Find go f x). k-32…

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Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: Let h(x) = f(x)g(x). If f(x) = -x - 4 and g(x) = In(2x2 – 2x – 4), what is h'(x)? %3D Select the…

A:

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

A: givenfx=x3-2x+1  and gx=1x2

Q: 2. Consider the functions f(x) = 2x² – 7x + 4 and g(x) = -7x +5. %3D a) Find f(-1). b) Find g(r -…

A: Given f(x)=2x2-7x+4f(-1)=2(-1)2-7(-1)+4         =2+7+4         =13Therefore f(-1)=13

Q: if f(x)+g(x)= 3x +2 and g(x) = x - 1 then f(x)= %3D а. 2х+3 O b. 3x+2 О с. 3х-2 O d. x+4

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

Q: 1. For the function f(x) = 3x² - 5x +7 find: a. f(-2) %3D b. f(-a)

A: Please see the below picture for detailed solution.

Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

Q: D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C)…

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Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the…

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Q: 1. f(x)=-2x²+x-1 a) f(0) =-| %3D b) f(-1)=- c) f(-x)=-X- %3D d) - f(x) = | e) f(x+1)=-3 ) f(2x)= -…

A: 1.    fx=-2x2+x-1   a) On putting x=0                         f0=-202+0-1      =-1  b) On putting…

Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

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Q: If f(x) = -1) (2x+5) and g(x) = (Zx+5) then the function (fg)(x) is (Zx-5) %3D %3D

A: Given,          fx=x-12x+5 and gx=2x+52x-5

Q: find the value of k so that the remainder is R when f(x) is divided by (x – r):   f(x) = 2x2 + 3kx…

A: Since, you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: [4 Let A = * 1. Find f (A), where f(x) = 2x3 + 3x2 + 4x + 5

A: Answer

Q: 3. Find (f g)(2) if f(x) = x² + a +1 and g(x) = x- x- 1. %3D %3D O (f 9)(x) = a* + 2 + 3x +2x +1 O…

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Q: If f) (E-1) and g(x) = (-1) then the function () (x) is (2z-5) %3D (2x+5) (2x-5) (2x+5) (x-1) (x-1)…

A:

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: Rx) = 9x + 4, g(x) = x2 + x (a) fog (fo g)(x) = (-00,00) domain (b) gof (go n(x) = (-00,00) domain…

A:

Q: 0, x4. then P(2<X <4) is equal to

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

Q: 3x and g(x) = x + 1 If f(x) = then x + 3 4x (ƒ o g)(x) is -

A: Here, we have been given that f(x)=3x x+3and g(x)=x+14xOur Aim is to calculate (fog)(x)=?

Q: 3. If f(x)=-4x+2 and g(x)=vx 8 find (fog\l12) 4. If f(x)=-3x+4 and g(x)=x find (gof)(-2) 5. If f(x)…

A: 3. Given f(x)=-4x+2 and g(x)=x-8f∘g(12)=fg(12)so now substitute g(12) in given…

Q: Iff(x) = 1 %3D Зх-1 and g(x) = f-' (x), find g' (x). 1 o g'(x) = -, 3x2 o g(x) %3D뉴 1 2r2 1 o g'(x)…

A: Given f(x)=y=13x-1f-1(x):Replace x with y and solve for yx=13y-13y-1=1x3y=1x+1y=x+13x

Q: 1.a. Determine the values of a and b for fx) =-2x + ax+ bx+ 6 so that f"(-2) = 0 and f"(7) = 0. b.…

A: fx=-2x3+ax2+bx+6 Differentiating w.r.t x- f'x=-6x2+2ax+b Then,…

Q: 2. Let f(x) = 3x + 6 € Z7[x]. Find all associates of f(x).

A: The given function is fx=3x+6∈ℤ7x To find: the associates of f(x).

Q: 3 را (x) = 2x+7 cl if -5 ²x C1 X = 1 8 If 12X=3 7 11x-2 31 if x > 3 A) use 3-step formula B) is f…

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Q: Let f (x) = 2x – 3x + 2 and g (a) = 6x 5x +2. What is the rule for (g- f) (x)? o (g – f) (x) = 4e² –…

A: 3rd Option  is true

Q: 10. For f(x) = 2x3 + 7x + 4, g(x) = 4x? + 4x + 6, and h(x) = 6x² + 3 in Zg find f(x) + g(x)h(x) with…

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Q: Find (f g)(x) and (f - g)(x) for f(x) = 15x2 + 19x + 6 and g(x) = 5x + 3. O F g)(x) = 3x + 2 (f-…

A:

Q: 1. Find fog. f(x) = -4x + 6 A) (f°g)(x) =-5x B) (fog)(x) =-4x² + 30x – 36 C) (f°g)(x) =-4x + 30 g…

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Q: 1) The function f(x) = x3 - 4x-8.95 has a root in [2,3]. O T F

A:

Q: f(x+h)-\x) for: Find the 1. f(x)=x² - 5x - 1 %3D | 2. f(x) %D

A:

Q: 5 Find (f(x) + 5g(x)]dxif -5 5 5 | f(x)dx = 8 and g(x)dx = -4. -5 -5 5 f(x) + 5g(x)]dx = i -5

A: The given integral values,∫-55fxdx=8 and ∫-55gxdx=-4

Q: 7. Find the domain of the functions. a. g(x) = 4 +x – V3 – 5x. 7x3-x²+16 b. f(x) х2-21х-100 In(7-3x)…

A: 7 a Given function is : gx=4+x-3-5x For function gx to be defined if , 3-5x≥0-5x≥-3x≤35   Thus , the…

Q: f (x) = 2x+3 %3D g (x) = 3x+ 2 What does (f- g) (x) equal? O-5x+1 O -x+1 O 4x-1 O x+1

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

Q: f(x) Let f(x) = 8x3 – 22x² – 4 and g(x) = 4x – 3. Find g(x) - 13 O 2x2 – 4x – 3 - 4x - 3 4x - 3 O…

A: We will solve the problem

Q: find g'(3) given that f(3) = -2, f'(3) =4, and g(x) =2x+1/f(x)

A:

Q: Find the linearization L(x) of the function at a. f(x) = x3 − x2 + 9, a = −2

A: topic - linearization of a function

Q: 3 f(x) 2dx=-3, [(g(x)-2)edx = 1 [2g(x)xx =10 and f-g(x)h =-1.2 Let 4 -2 Find [(f(x)-3)cdx

A: Given : ∫-24fx4dx = -3, ∫-20gx - 2dx = 1 , ∫432gxdx = 10 and ∫04-gxdx = -1.2   To find :…

Q: Q1. 2x+2 x+1 f(x) =2x-3 r-3 (a) Express f (x) as a single fraction in its simplest form. (b) Hence…

A:

Q: 2. Given f(x) = 3x + 2 and g(x) = x - 2x +3. Evaluate 2g(f(-4)) in simplest form. %3D %3D

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for…

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…