2. Which of the following are proper rational functions? 4 (b) 9 — х 4x3 — 7х х (a) x2 + 12 (х + 2)(х + 1)(х — 3) (d) (х — 3) (2х + 5)(9— х) (c)

Q: Find two functions f(x) and g(x) so that h(x) = (f og)(x) a) h(x) = (2x +3)².

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Q: x

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Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

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Q: . Determine a such that (x – i) is a factor of f(x)= x² + ax – 6.

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Q: Which is equal to ) (x) given that g(x) = 1 − 3x and h(x) = √x? √x - 3x√x √x - 3√x √x 8 - - 3x√√x…

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Q: How do I do part f?

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Q: 8 √₁ 2 4-x² 4 x² 2 +4.x² dx

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Q: Given f (x) = 7-5x a] f-¹ (4) b] f¯¹ (-4) + f¯¹ (-3) + f¯¹ (-2) c] g (x) = f-¹ (2x) 1 determine

A: The given function .The objective is to find the following values,(a) (b) (c) .

Q: 6. Simplify the rational expressions (a) st = ut 24 w %3D (zw)

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

Q: f(x) = xv3+ 2 (-2)

A: Given: fx=x3+x2

Q: Is the function below even, odd or neither. Give a reason. f(x) = 3x - 8x3³ %3D 2 Is the function…

A: 1-Given- fx=3x5-8x3 To Check- If the above function is even or odd function. Concept Used- To check,…

Q: Which of the following are proper rational functions?

A: Proper Rational Functions: Proper Rational Functions are those when in a rational expression the…

Q: Given f(x) 3 = T 3) (g f) (4) and x²-1 glx) 2x+7, find the following. 4) (gofog) (-1)

A: Given f(x)=3x2-1 and g(x)=2x+7

Q: /1-(r-1)2 1 dydr. 0.

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Q: rovided f(x) = the square root of x2 +3 and g(x)= x/x+6 find (f o g)(4) and (g o f) (4)

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Q: for f(x) = (x-1)3 and g(x) = 1 - 4x, find the following  a) (f o g)(x) b) (g o f)(x) c) f(f(x))…

A: (fog)(x) = f[g(x)].

Q: Let f(x) = 2x + 8, g(x) h(x) — 3х — 6. = x + 2x – 8,and Perform the indicated operation. (Simplify…

A: Given that fx=2x+8,gx=x2+2x-8 and hx=3x-6To find :f-gxSolution :f-gx=fx-gx=2x+8-x2+2x-8…

Q: 6. (a) Find the number of roots the function f(x)=r³ - 2x + 1 has using a sketch. (b) Using any two…

A: We have to find the number of root of the function  using sketch and find its root using any two…

Q: Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h , where h ≠ 0. f(x) = 7 −…

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Q: 1) Given f(x) = -6x +5 and g(x) = 2x + 3 b) Find f (f ¹) (2)

A: We need to find f(f-1)(2).

Q: 5х -4 f(x) = 6x2 + 7x- 3 Part 1 of 3 5х -4 f(x) = will not be a real number when the denominator is…

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Q: 3(x+2)(x-2)=0

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Q: Let f(x) = · – 3(x + 4)"(x – 4)1º(x + 5)"| |

A: f(x) > 0 can be solved using simple algebraic properties

Q: f(x)=−4(x+9)(x+7)(x+1)

A: Here we don't know fully question. f(x)=-4(x+9)(x+7)(x+1) f(x)=0 (x+9)(x+7)(x+1)=0 x=-9,-7,-1