For f(x) : Vx+5 and g(x) = x + 8, the domain of х-9 |x is?

Q: 1 Find Vf if f = 2 /x²+y² +z?

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

A: Given,

Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

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

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Q: What is the value of f(1) - 16B in ∫x^3 lnx dx= f(x) ( (1/4) lnx - B ) + C

A: To find out the required value.

Q: What value of a makes ƒ(x) = x2 + (a/x)have a point of inflection at x = 1?

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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: Let f(æ) = (2x² + 1)(3z + 5). %3D The sum of the coefficients of f'(x) is equal to

A: Find derivative and sum of coefficient.

Q: For x 2 0, show that 1S v1+x³ <1+x°. Explain your answers in detail.

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Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

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Q: If f'(x) = x³ – 2x* + x³ + 2, then f has inflection points at

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Q: For which values of c does f (x) = x2 + cx + 1 have a double root? No real roots?

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Q: s x−1 a factor of f(x)=4x^3−8x^2+8x−4​?

A: Given: To find whether x−1 is a factor of f(x)

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: Given the function f(x) = 1/2x4 – x3 – 2,

A: Given function is fx=12x4-x3-2     .....1

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: 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: Given: f(x) = 4x“ – 15 and g(x) = 2.x+11 %3D What is the value of g(f(x)) ?

A: Given f(x) = 4x4 - 15g(x) = 2x+11g(f(x))=?

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

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Q: f(x) = { kx+3, IF X<2 LyK-3x, IF X72

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Q: If f(x) = x³ – 2.x² +3 , the only point where f could change the concavity is 2 b) x =- 3 a) x =- c)…

A: Finding the inflection points

Q: For f(x, y) = 2x3 + x²y2 - 5y3 + 10,

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Q: 6x + 6 If f(x) = find: %3D 4x + 4' f'(z) = f'(3) =

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

A: Explained below

Q: Given f(x) = 3x° + kx – 10, and x – 2 is a factor of f(x), then what is the value -- of k?

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Q: f(x)=5sqrt(x+2) at x=7

A: Given: f(x)=5x+2f(x) has domain x≥-2

Q: What is the domain of y = In (x² – læ 1а — 6)?

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Q: Find f by solving the initial-value problem. f'(x) = 9x² + 6x – 9; f(2) = 5 - f(x) %3D

A: Given,  f'x = 9x2+6x-9  f2 = 5  We have to find  fx

Q: Given that f(x) = 3x²- 3cx +2, find c such that if f(x) is divided by (3x – 1), the remainder will…

A: Using synthetic division we have to find the value of 'c' for which the following function when…

Q: 2 Given that f(x) = 4x – 7 and g(x) = 4 – a?, calculate (a) f(g(0))=| (b) g(f(0))=|

A: Answer(a): The given functions are: fx=4x-7 and gx=4-x2. Then, the composition function is given as:…

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

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Q: what is (f o g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

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Q: Find the general solution for: X' = là X. -3 %3D

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Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

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Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: For the function z = x3 - 2x2y2 - 2y2 Please solve Zx and Zy

A: To find: The value of zx and zy. Given: The function is z=x3-2x2y2-2y2. Formula used: Power rule of…

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: on f(x, y) = 7x2 + 9y? - xy + x.

A: Let the function be, f(x,y)=7x2+9y2-xy+x. Differentiate the function partially with respect to x.…

Q: F(x)= 3x^3 + 2x + 3/x^2?   then F'(2) is?

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Q: -8x +11 given f(x) findf'(x). 7x +2 f '(x) =

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Q: If f(x) = ax + bx + c has zeros x = 15 and x = 6, what zeros does f(x + 1) have?

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Q: For f(x) = 25x3 + 50x2 - 4x +10 ... how do I find all values of x for which f(x) = 18 ?

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Q: Differentiate the equation below by using First Principle Method. (a) f(x) = 3x² + 7x (b) f(x) = -x²…

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Q: Now find the value of f(x + Ax) – f(x). f(x + Ax) – f(x) (9x2 + 18xAx + 9Ax2 – 5x – 54 - 9x2 + 18xAx…

A: We have to calculate the given expression

Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1…

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: 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: For fx) = 2x+ 1 and g(x) = x2 - 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x+ 2x- 6 O C. 2 - 2x- 8 O…

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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? +…

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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