Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x+24, g(x) = x-24 (fo g)(x) = (Simplify your answer.) ec 1

Q: Зу xIn(x) The function f(x) =2 ( In(x) )³ is a solution of y =

A: Given function f(x)=2(ln(x))3

Q: Solve (x-3)-2 = x +1 graphically, numerically (using a table) and algebraically, if possible.

A: Solving   (x-3)2-2=x+1  Numerically x y -1   14 0     6 1     0 2  -4 3  -6 4  -6 5…

Q: f(x) =1-x² 2.

A: The answer is given as follows :

Q: 3x Find the domain of h(x) x* - 9

A: To Determine: Find the domain of the function h(x) Given: we have hx=3xx2-9 Explanation: we have an…

Q: х g(x)= x-x-2 %3D .2

A:

Q: 1 Vx-5 Q Find the domain of y = |x-31 lx+5| x2-25

A: The given function is: y=1x-3-1x+5+x-5x2-25

Q: 5. Find the exact solutions: x²-3x+6=0 6. Given f(x)=x-5 and g(x) = -2x²+ 4, find the composite…

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Q: Given g(x) = x - 14x + 45, a. Evaluate g(V5). b. Evaluate g(- V3). c. Solve g(x) = 0.

A: The function gx=x4-14x2+45

Q: f(x+h) – f (x) h f(x) =5x²+ 2x– 3 4. Find the difference quotient, , of (a) g(x) =- (b)

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Q: Find the quotient of (x/2 - 2/x) and (1 - x2/4). What are the restrictions on the variable?

A: We have to find the quotient of the given two expression.

Q: The domain of

A:

Q: g(x) =   5x + 1      find g-1(x)                2x - 6

A: Given gx=5x+12x-6 To find g-1x:

Q: f(x)= x² + 5x + 6 g(x)=x+2 Find (+)(*) (-) (2²) The domain of = (4) (2) is x + [ a

A:

Q: 1 Vx-5 Q Find the domain of y = |x-3| |x+5| x2-25

A: Given y=1x-3-1x+5+x-5x2-25. We know that The domain of a function is the set of input values for…

Q: f(x)=x^3-x^2+3, a=-2

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Q: Find the value of the constant (a) given that F'(x)= 15x^2 + 2ax- 2, F(-1)= 9, and F(2)= 75.

A:

Q: g(x)=3x + 4 find g(-2)

A: Given,           g(x) = 3x + 4

Q: Standard form of g(x)=x^2-10x

A:

Q: What is the end behavior for this equation? f (x) = - (x+3)² + 1 %3D | O As x -0, f (x) -00, and as…

A: The given function is: f(x)=-(x+3)2+1

Q: Find the value of the constants a and b given that F'(x)= 2ax + b, F(3)= 47, F(-2)= -3, and F(1)=3.

A: We have given F'x=2ax+b Then, integral on bothe sides we get ∫F'xdx=∫2ax+bdx Fx=ax2+bx+c where c is…

Q: Let k(x)=f(x)g(x)/h(x). If f(x)=−4x+3,g(x)=2x+2, and h(x)=−3x^2−4x+4, what is k′(x)? Simplify your…

A: We have to find the derivative of function k(x).

Q: - 4x - 3x + 10 Use algebraic techniques to rewrite g(x) as a sum of three terms. Then find g'(x).

A: Given,  gx = -4x43-3x103+6x3   We have to write gx as a sum of three terms and to find g'x

Q: Find the value of c so that the domain of f(x) = vc-x² will be [-5,5]. %3D

A: Given,          The domain of fx=c-x2 is -5,5.

Q: g(x)= , x-x6 3x² -5x+6 Find g'(x).

A:

Q: جر جدور المعادلة )و تكرارات ( f(x) = x- AX+3 )4ا,2]

A:

Q: 3-2x 10 Q Find the domain of y = | - 1+x x+5

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Q: X-2 9) f(x) = %3D x2 - x - 30

A:

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)? Do not include…

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Q: f(3)= -2x^2+x-5

A: Solution

Q: 8) f(x) = 2x + 5; g(x) = 3x - 1 Find bo

A: Givenf(x)=2x+5g(x)=3x-1

Q: 2x, g(x) = -8x + 2 %3D Find (f+ g)(x), 7.

A:

Q: f(x) = 2x - 4, g(x) = 6x - 2 Find (fg)(x).

A:

Q: xsqrt 9-x^2. Please solve starting from c

A: Given query is to find the double derivative of the function.

Q: f(x) = 4x + 3; determine if this is even, odd, or neither. %3D

A: Suppose f:ℝ→ℝ be a function .Then f is  even if fx=f-x for all x∈ℝ . odd if fx=-f-x for all x∈ℝ .

Q: f(x1 * Ax) -f(x1) Ax

A: The function is y=ft=2x2. The value of ∆xis 4. The value of x1is 5.

Q: f'(x)=3x^2-6x-3. =3(x-1)^2-6. For what values of x is f'(x)=0?

A: f'(x)=03(x-1)2-6=03(x-1)2=6 (x-1)2=63  (x-1)2=2 (x-1)=±2

Q: r(x) = (/2x + 1 - x²)-1 r'(x) =

A: Given query is to find the derivative of the expression.

Q: 6.)f(x) =- 3x + 7 g(x) = 2x - 8 Find (gof)(x)

A: Since you mention that : answer for number 6

Q: F(x)=32-2x^2, [1,4]

A: Given, f(x)=32-2x2

Q: 5) f(x) = 7 - e-X 6) y = 5xeX - 5eX

A: our objective is to find the derivative given in question 5 and 6.

Q: (3) f(x)= x/4-x²,[-1,2]

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: (a) g (x)=x² -9 -69 8(5) = 8(-3) =

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find f'(x). f0x) = 6x - 7 e* (Type an exact answer in terms ofe.)

A: Given

Q: Discuss Continuity x² + y2 g(x, y) x²- 3x + 2

A:

Q: f(x) = 3-x2 g(x) = x² + 2x – 15 a. +g)(x) b. (ゲ-g)(x) c. (fg)(x)

A:

Q: 6. Given f(x) = -3x*-12x3-7x +3, find f(-2) by plugging into f(x) %3D

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Q: f(x) = 5 x² − 5 x, -

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Q: f(x)-(x+4)^2-5

A:

Q: х-3, x 2 if x= - 5 is Blank 1

A: