If f(x) = and g(x) = z+3 %3D I-1 H-2 The domain of fogis the set of all real numbers except z+1

Q: Suppose G(x)= 2x+3/x-4 a.) Find a value of x such that G(x) does not exist. b.) Find x such that…

A: A function of the form f(x)=p(x)q(x) is said to be a rational function, where p(x) and q(x) are two…

Q: How can you find the values of a,b, and c so that you'll get set(F)= ax^2 + bx + c.    F=    x   3…

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Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: **********- If f(x) = 21 & g(x) 1 then find %3D X-3 X+2 a) (fog) < 2 b) (gof)6 &

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Q: 1)f(x)=4x2/x+1 and g(x) = 2x +1 Find Fog(x) 2)The Domain of (g/f)(x) in set builder   3) and f(x) =…

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Q: If f (x) = x² – 4, what is the simplest form of +1), %3D - X -1 Select one: a. х + 3 о ь. х — 1 c. x…

A: The given function is: f(x)=x2-4

Q: x + 2 x² – 2x - f(x) = x2 – 1 2x – 5 3 O Does not exist None of the above

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Q: Let m & n be constants and suppose f(x) = {" + 3bx + 2x² , x 1' тx + b What are the values of m and…

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Q: If f(x) = 4x2 + 1 satisfies Rolle's Theorem on [a, 2], then a = 2 -1 -2 none

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Q: 3 3 Let AÄx) = (10x – 15) + 9 and g(x) = (16 – 8x) – 7. Find all values of x for which g(x) < f(x).

A: Given: fx=3510x-15+9 gx=3816-8x-7 When, gx≤fx…

Q: The function f(x) = 2x³ – 36x² + 192x - 3 has two critical numbers. The smaller one is x = and the…

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Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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Q: It is given that g (x) = 2x – 1 and h(x) = g(2x-1). %3D (a) Express h(x) in terms of x. (b) If g(p-…

A: Given: g(x)=2x−1h(x)=g(2x−1)

Q: 2. Find the constants a and b such that the function is continuous on the entire real line. 7 x 4

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Q: The value of the Wronskian of set of functions {x² - 3x +1, 2x² - 6x + 2} is O a. 13x O b. 7x? 2x? O…

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Q: If the zeros of f(x) are: x = 4 multiplicity of 2, and a = - 3 Which of the following is a possible…

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Q: x = 1 is a root of multiplicity .... for f (x) = -1+2x – 2x³ +x*. O 1 None of the choices

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Q: Given f1x2 = ax + bcx + d find f -1 1x2. If c ≠ 0, under what conditions on a, b, c, and dis f = f…

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Q: Find the derivative of the function?

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Q: Find all values of x for which rank(A) = 2. 1 2 0 5 A = -2 -2 x -1 3 8 -2 24 x =

A: Given: The given matrix is, A=1205-2-2x-138-224 Also given that rank(A)=2 The objective is to find…

Q: Diketahui f(x) = x + 4 dan g(x) = 2x maka (fog)1 (x) = A. 2x + 8 В. 2х + 4 C. 1/2 x - 8 %3D .... D.…

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Q: 3. Determine the values of a and b if the given function f(x) is continuous. (2x + 6 ,x 2 Solution:

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Q: If f=x-2x-3 &g(X)= 1| then find a) (fog)(x) b) (gof) & (x)

A: To find (fog(x) and (gof)(x), we use the definition of composition of two functions.

Q: Let f(x) = 3x -2 and let g(x) = 5x + 5. Find f(x) - g(x). %3D %3D Type the coefficients in the…

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Q: x+8 If f(x) = 3x-8 & g(x) then find (fog).(gof)m = %3D 3. and is (fog)(gof) are equal ??

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Q: If f(x) = x2 - 2x – 3 & g(x) = |X| then find : b) (gof)(x) a) (fog)(x) &

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Q: 26. Let f (x) = vx - 1 and g(x) = x² – 4. A. Find (fog)(x) and (gof)(x). B. Find all real values of…

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Q: If f(x) = & g(x) = then find %3D %3D 1 X-3 x+2 a) (fog)(x) < 2 b) (gof) & < 6

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Q: If f(x) = then the domain of f includes all real numbers except 12x + 7' Enter answer as a reduced…

A: The given function is

Q: Suppose G(x)= 2x+3/x-4 a.) Evaluate: i.) G(2) ii.) G(0) iii.) G(-1/2) b.) Find a value of x such…

A: The given function is, G(x) = 2x +3x-4   i) To calculate G(2), replacing x by 2 in the above…

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

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

Q: If F (x) = | Vidt for all real numbers x > 0, then F'(x) = A в X D) 2x2

A: Given function is                                F(x)=∫4x2tdt we have to find derivative of F, we…

Q: If f(x) = 3 x + 3x and f'(0) = 3( by using 2-points fomula with h=0.5), then the value of a is…

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Q: 16. The range of real values of x for which x- s is x+2 A x< -2 or x 2 3 -B- - 2< x< 3 C x< -3 or x…

A: We have to solve the inequality

Q: f(x)=1/x-7 and g(x)=1/x-1 then the domain of f o g is equal to all reals except for two values , a…

A: Refer to the question we have to find the domain of (f o g)(x) is equal to all real values except…

Q: 5 The axis of symmetry for f (x) = (x+ 2)- 25 is %3D A x 2 B x = 25 Cx -25 D x = -2

A: Solutions

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: Find all values of x for which rank(A) = 2. -1 2 0 5 A = 2 -2 x -3 -1 4 6 12 x =

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Q: Suppose that 4 < f'(x) < 5 for all values of x. What are the minimum and maximum possible values of…

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Q: 5) Find g(h(x)) and h(g(x)), if they exist when g(x) = 3x and h(x) = x – 4. A. 3x – 12; 3x – 4 В.…

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Q: If f(x) = x² + 5 and g(x) = 3x – 2, then the value of g(-4)+ f(-4) is %3D - O 7 O 49 O None of these…

A: find sum of two given function

Q: 2) Find (f • g)(x) and (g o f)(x) and give their domains. f(x) = x² + 1 g(x) = 2x² + 3

A: Consider the given function fx=x2+1 and gx=2x2+3 To find f∘gxand g∘fxand also tits domain.

Q: If ƒ(x) = 3ªx + 3x and f'(0) = 3( by using 2-points fomula with h=0.5), then the value of a is

A: Topic- derivatives using 2 point formula

Q: The domain of the function g(x) = z +9 is all real numbers except for %3D I - 7

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Q: If f(x) = 2 & g(x) = then find %3D X-3 x+2 a) (fog)x) < 2 b) (gof)<6 & (x)

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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…

Q: 3x2 f(x)3D f'(x) (x+2)? ' 12x f"x) = – 24(x-1) (x+2)3" .Find x- and y- intercepts of the graph of f.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: Find (f o g)(x). f(x) = 5x - 2, g(x) = – x² + 4x - 1 O -5x? +20x -7 %3D %3D |3| O -25x2 + 40x - 13 O…

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