Given f(x) = 6Vx and g(x) = 6x, find the following expressions. (a) (fo g)(4) (b) (go f)(2) (c) (f o f)(1) (d) (go g)(0)

Q: If F(x) = 3x + 8x + C and F(1)= 9, what is the value of C?

A: Given F(x) = 3x2 + 8x + C , F(1) = 9 We have to find C

Q: x + 4 if f = 2r3 +1, find f(1). 5x – 4 -

A: Given,

Q: If f (x) = (e²)² , what is f'(x) ?

A:

Q: Find f' (a) for 13x f(x) = 9x + 8 f' (a) =

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Q: snip

A: Given: fx=3x2-Bx+4f-1=12 To Find: The value of B

Q: If f(x)=3x2-x+C and f(3)=18, what is the value of C?

A: Let's find.

Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: Given that f(x) 2x+7 %3D 3x-5' determine the equation of f-(x)

A: The given function is fx=2x+73x-5. Let fx=y. y=2x+73x-5 Replace x and y as follows. x=2y+73y-5

Q: -2t x' – 5x = -e", x(0) = 3

A:

Q: f(x) = (1 – x²) |

A: Given query is to draw the function.

Q: When f(x) = 6z² + 4z + 1, evaluate f(3) f(3) =

A:

Q: How would you solve for f(x)=x2+6 g(x)=2x+3 (gof)(-2)

A: Given, f(x)=x2+6   g(x)=2x+3  We have to find g∘f-2

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: Solve for f R=X+fa

A:

Q: 2. Given that f(x) = 2x + 2 and g(x)= find fg 2+x2

A: Given:  fx=2x+2gx=-x2+x2 To Find:  fggfg1=?

Q: Let f (x) = x2 + 8 and g(x) 14 - x. x2. %3D

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Q: 8. For f(x) = -4x + 5, find the solution to f(x) = 41.

A:

Q: -7 -5 | g(x) dx = -5 and | g(x) dx = 8,

A: Given,                      ∫2-7g(x)dx=-5   and   ∫25g(x)dx=8then         ∫-75g(x)dx=?

Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

A:

Q: For f(x) = – 3x³ + kx² – 5x – 2, if f(2) = – 4, then what is the value of k?

A: Explained below

Q: differentiate the expression with respect to x, assuming that y = f (x). (x2 + y2)3/2

A:

Q: B) find the Domain and Range f(x) = Vx – 3x²

A:

Q: Given f(x) = 5x – 3, solve for x when f(x) = 7. | %3D

A: We have to find

Q: If f(x) = 2x3 + Ax2 + 4x - 5 and f(2) = 5, what is thevalue of A ?

A:

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

A:

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

Q: Ef(x) = x² + 2x – 6find 7(x+h)-f(x) h = 0

A:

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

A:

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

A: In year 2002 , exports will reach $8.5 billion.

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

A:

Q: Find f'(x) and f"(x). f(x) = x² - 4

A:

Q: If f(x)= 2x² + 3x +1 and g(x)= 2.x+1, find the followings: (fxg)(-2)

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Q: 4 f(x) = x2 + 16

A:

Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

A:

Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

Q: Given the function f(x) = 5x+3/2x-1 a. Determine f-1(x). b. Hence solve the equation 5x+3/2x-1 = 8

A: solution of the given problem is below...

Q: If f(x) = (3x + 8) / (2x - A) and f(0) = 2, what is the value of A?

A: Given that, fx=3x+82x-A Also it is given that, f(0) = 2 We have to find the value of A.

Q: = x, find (f o g-3). Given that f(x)=2x+3 and g(x) (fo gX-3)-

A: (fog)(-3)=f(g(-3))

Q: 2. If f(x) = |x|- 2 is translated -5 units horizontally and +3 units vertically, what would be the…

A: The function is given by fx = x-2 To evaluate: The new equation obtained when the function fx is…

Q: If  f(x)=3x-1f  and  g(x)=x^2+2 then what is (f∘g)(4)?

A: (fog)(4) = 53

Q: 7. Find y"' of ƒ(x) = 5x* + 4x³ – 7x2 8. Find y* of f(x) = x* – 5x? + 12x – 3

A: Take derivative 3rd time to given function In question (7) and 4th time to given function in…

Q: . For f(x) = 6x + 8, find the solution to f(x) = 35.

A:

Q: -10 If Lf'(x) dx = 7 and f(10) = -2, find f(-4).

A:

Q: If f(x) = 1 + 4**', what does f(2) equal?

A: Given real valued function is

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

A:

Q: Find f (k + 2) given that, f(x) = 3x² + 2x + 4

A: Given: fx=3x2+2x+4   We know that the perfect square formula; a+b2=a2+2ab+b2

Q: If f(x) = 3x + 2 and g(x) = x - 5, then what does (f+g)(3) equal?

A: