(x+3)² Suppose f(x) = = and g(x) = x - 1 are both defined on their natural domains. 3x - √2 + x You may assume the domain of (fog)(x) is: { x = R, x ≥ −2 and x ‡ * {2 € R.. 1+√73 18 Which one of the following is (fog)(0) ? Select one alternative: 0 1 O-1 - (₁ + √²) 9 √2 O

Q: Differentiate f(x) = 3 (√4x² + 2x + 7x+2) x+1

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Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: For f(x) = (x + 3)*(x – 6)³(x + 5), list each real zero and its multiplicity.

A: Given function is f(x)=x+34x-63x+5

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

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Q: You are asked to write the quadratic function with the smallest possible integer coefficients that…

A: The given roots of equation are

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

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Q: If f(x) = 7√√-3 and g(x)=√√x +9, what are the restrictions on the domain for the combined function O…

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Q: Consider the functions f(x) = x² 4 and g(x)=√x-2. Which of the following is an element of the domain…

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Q: a) determine (fog)(x) c) evaluate (gof)(-1) b) state the domain of (fog)(x)

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Q: Find g o f if f(x)= 1/x+3  and  g(x)= -2/x and state the domain: I set this problem up as follows:…

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Q: For the functions f(x) = x² - x - 6 and g(x) = x - 3, to: ○ a) ( ½ )(x) = x³ − 4x² − 3x +9 - - b)…

A: NOTE: Refresh your page if you can't see any equations. . given functions are

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: 1. The function f(z) factors to f() = (* + 2)(ar + bz + c). Find (a + 6+ c). S(z) = 3+3r-5x+2 (a) 5…

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Q: Domain of g-¹ (x) ;.

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Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: = 21a and g (x) 4, then (gc 21 4.00

A: We have to choose the correct answer from the given option according to the given condition

Q: 8. FIND f(4) (x) OF f(x) = 3x7 + 4x6 + 8x³ – 2x + 1

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Q: 5. g(x) = x² - 4x-5 and h(x) = VI. Consider the following functions: x²-1 2x-10 32-1 or f(x) = 2x,…

A: Since you have posted question with  multiple sub-parts, as per guidelines we are supposed to answer…

Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³13x + 11 b) f(x)=x²-10…

A: Given problem:- 9. Which of the following is f(x) =x3   the parent function for? a) f(x) =8x3-13x+11…

Q: 8- Is it possible for 2x +96= -28x, explain your answer? 9- For what value(s) of k does the function…

A: 8)  2x2+96=-28x Add 28x on both sides: 2x2+96+28x=-28x+28x 2x2+28x+96=0 Now, this is a quadratic…

Q: Suppose we have f(x) = 2x² + 2 and 9(x) = 2 – 3a", is (f – 9)(0) the same as (g – f)(0) ? Explain.…

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Q: Given f(x) = 1 + 6x – x? and g(x) = 4x + 1

A: Given: fx=1+6x-x2  and gx=4x+1 To find: f+gx

Q: 11. Decide algebraically if the functions given below are even, odd, or neither. a) f(x) = -7x - 3x3…

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Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

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Q: Given the functions, f(x)= g(x) = ₁ h(x) = √x 1. Determine the following. Clearly show your work and…

A: As per our guidelines, we are supposed to answer only one question with a maximum of three sub parts…

Q: Suppose f(x)=√x² + 6x +10 and g(x) = −3x + 9. (fog)(x) = (fog)(-1) =

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Q: 7.) For the functions f (x) = 3x2 – 5x +7 and g(x) = 4x +8 find (f • g)(x)

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Q: 3. Find (f+g)(x) if f(x) = 2√m and g(x) = 3√/4m. O (f+g)(x) = 8√/m O (f+g)(x) = -7√m ○ (ƒ+g)(x)…

A: The given functions are: fx=2m and gx=34m   To calculate the value of f+gx.

Q: 2. Find f(g(5)) if f(x) = 2z + 5 and g(x) = 3x2 %3D O f(g(5)) = 675 O f(g(5)) = 155 %3D O f(g(5)) =…

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