Find the inverse of each function. 5) sl) --2x + 3 6) lx)-12 - 7x 4 7) h(n) – V-n – 2 8) g(x) – -1 + (x - 2)

Q: x2y/5z x3 y4/10z3x4y5/15z4

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Q: 6 -2 1 |-4 1 -1 l1 0 1

A: We have to find the inverse of matrix using Gauss jordan method.

Q: Find (go f)(x) if f(x) = 2x2 – 3x and g(x) = x + 2 O 2x2 + 5x + 2 O 2x2 + 5x + 8 O 2x? – 3x +2 O…

A: Given: fx=2x2-3x and gx=x+2 To find: gofx

Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: Express ax + bx + c as a linear combination of the functions f(x) = 3, g(x) = 4x, and h(x) = -x²,…

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Q: 9. Given f(x)=4x+3 and g(x)=x, find (g•fXx) 10. Given f(x)=x-1 and g(x)=xr +2x-8, find (gofXx)

A: Question no. 9,Given,            fx=4x+3  and gx=x2

Q: 10. If f (x) = 2x(1+In(2x)), and f'(c) = 6, find c.

A: Given function is fx=2x1+ln2x. Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: If f(x, y) = 2x+6 (2a-6y) of then is given by:

A: In the above question we will take y as constant since we have to partially differentiate it with…

Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

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

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Q: Suppose that f(2) = -4, g(2) = 5, f '(2) = -1, and g'(2) = 2. Find h'(2). %3D (a) h(x) = 3f(x) –…

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Q: The funetion fCx) =ax3+bx?+|16X+3 as a factor, when the function dlivided bu (x+l) the nemainder i…

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Q: 1) If f(x) = - 2x, then f' (8) = A) B) D) 1 E) 3 3x -2 2) If f(x) = , then f'(x) = 2x+1 A) 2 -7 B)…

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Q: The function f(x) = x³ – x + 1 is not invertible. Select one: True False

A: A function is said to be invertible if it is one-one and onto. A function is said to be one-one if…

Q: 3 na of the function f(x) =x3 -x2 - 6x + 12, -3 < x< 3. 2

A: Solution of the problem as follows

Q: 2 If f(x) = and g(x) then (g of)(x) is equal to x + 3 1 + 3x A x + 3 D 2x x + 3 2х 1 + 3x 2x

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Q: 3 If f (2) = -5 and f'(2) = – find [f-1]'(-5). %3D 4

A: topic - derivative of inverse function

Q: 2) If g(x) =3 - 2, find g-(x). %3D H-3

A: Given,           gx=3x-3-2

Q: The domain of the function /1- a² – y² ln(a² + y2 – 1) is empty. True False

A: We have to check

Q: ,x2

A:

Q: Discuss the continuity of the function on the closed interval.

A: Given, f(x)=x, x&lt;12,x=12x-1,x&gt;1

Q: -10 -9 -8 -7 -6 -5 -4 -3-2 2 345 6 89 10 Which equation could represent the piecewise function? -4,…

A: from the give graph for x&lt;0it gives a straight line with zero slopey=-4

Q: 4. If f(x) = -6x and g(x) = -6x %3D 203 2x+3 and g(x) = 3x 5. If h(x) = %3D

A: The solution are next step

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: If f(x)=/2x and g(x)=1-x², then (gof)'(x)= %3D

A: =&gt;(g.f)(x)=g(f(x))

Q: Find the inverse of f (x) = Vx+ 3 – 2. Of1 (x) = a – 6x² + 12x – 6 Of (x) = -2³ – 3 O 1 (x) = (x +…

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Q: f(x)=(x^2+2x+3)^3, then f′(x) =    f′(1

A: First find derivative then put x=1

Q: 2 If f (x) =x² and g(x) =x – 5 then f(g(x))= x² + 25 x² – 25 O x²-5 O x² – 10x + 25

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

Q: (x2, f(x) = { ax + b, 3 s x s 4 [x+12, х>4 x<3

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Q: 4. In order for ƒ (x) = Va -3+2 to be an inverse of g (x) = (x - 2)² +3, the domain of g(x) must be…

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Q: Find each f(c) using synthetic substitution. 12. Ax) =5x + 10x* + 3x + 8x² – 6x – 3; c = 3 (SHOW…

A: Concept - we have given a function F(x) , and asking about C=3 ,so substitute c in given…

Q: Suppose that f(4) = 2 and f' (4) = -1. (a) h(x) = (2x². 2x² + 31n (f(x)) h'(4) = (b) h(x) = 20f(x)…

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Q: 4. If the function f is defined by f(x) = 5x + 3, then 2f(x) + 1 = %3D %3D 7x+4 В 7x+7 10x+4 D 10x+6…

A: If the function f is defined by f(x)=5x+3, then 2f(x)+1=

Q: 1. Which pair of functions is equivalent? a. fx) = - 8x - 5x – 3 g(x) = 8x + 5x + 3 c. Ax) = (-6x +…

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Q: 11. If f(x)= -x² +2x +10 and g(x) = 4x – 1, then: a) (gof)(x) = b) (gof)(-3) = %3D c) (fg)(-1)= %3D

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Q: If f(x) = 5x - 2, g (x) = – 2r + 3 and h (x)= x, then (fogoh)(-2)=.... %3D

A: The functions are f(x)=5x-2g(x)=-2x+3h(x)=x3 If f(x) and g(x) are two functions then the composition…

Q: 3 13. Evaluate x2 Vx + 2 da -1

A:

Q: If f(x) = 3x – 2 and g(x) = x + 1, then (f(g))-'() equals O 1– x O x +1 O x – 1 1 O (3x – 1) 3

A:

Q: 16 - If f(x) = e2*Inx then f'(x) =? a) e2x (2lnx + 는) 0308 b) O e2x 2lnx c) O e2* (Inx- d) O e (inx+…

A: Given: fx=e2xlnx To determine: The value of f'x.

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

A: The function fg is defined by fg(x)=f(x)g(x)

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

A:

Q: 6. Compute f '(x) if Ax) = , 1 1 A) 3x*/³ (x – 1)*/ 4/3 1 B) 3x2/ (x – 1)*/3 1 C) *(r – 1)*/3 1 D)…

A:

Q: 2) Let f (x) = 2x³ + 6x² + 6x + 2 a) Fully factor f (x). b) Find the inverse of f (x).

A: To factor given f(x)  use the following formula.         To find the inverse of f(x) :…

Q: f(x) =      x2 − 4 x − 2      if x < 2  ax2 − bx + 1      if 2 ≤ x < 3  4x − a + b      if x ≥ 3…

A: Given  fx=x2-4x-2             if x&lt;2      = ax2-bx+1    if 2≤x&lt;3      = 4x-a+b       if x≥3

Q: 2 f(x) = v2x + 3,as 2. f(x) = v2x +3,a =3 %3D

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Suppose z is a function of r and y, and x² + y² + z² = xe² + ye² + ze³. Solve əz əz for and əx ду

A: Topic = Derivative

Q: If fx) = (1 - x)? and g(x) = 9 - x, find Ag(x)) and g(fx). Ag(x)) = g(fx) - -8 + 2x – x? %3D

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Q: 口 5. Find the inverse of the given function. y = 3x +2 1 y =V 3 O y = 2x + 3 Oy= O y = -2x - 3 O y =…

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Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…