QUESTION 1 Find the specified domain. For g(x)=√√x + 6 and h(x) = O [-6, 9) U (9,00) O [0, 75) u (75, ∞) [0,9) U (9, 0) O [-6, 75) u (75,00) 1 x-9 what is the domain of h-g ?

Q: Determine the value of A such that the domain of f(x) = +14 is (-∞0,8) U (8,00) - A

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: Let f (x) = 2x +2 and g (x) = –3x+1 Find g(f(2)) O -17 O -18 O -35 O 18

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Q: 2. Which shows that f(x) = 5x² -2 and f-¹(x)=√√2 are inverse functions? O522 -2= *52…

A: If f(x) and f -1(x) are inverse functions then  (f∘f -1)(x)=(f -1∘f)(x)

Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

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Q: Find the domain of the function f(x) I - 8

A: Domain: It is the values of input x that can be given to the function so that function will be a…

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: Which linear function is graphed on the grid? 90 80 70 60 50 30 20 10 12 3 4 10 56789 20 30 40 50…

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Q: a(bx+j)(cx+k)(dx+m)² (ex+n)(gx-p)(hx+q)' with the following conditions a,b,c,d,e,g h.j,k,m,n,p.q are…

A: Given type of function is fx =abx+jcx+kdx+m2ex+ngx-phx+q

Q: 8. Given the function (x) = (x - 2) and g(x) = -x+3. Which function represents the combined function…

A: Ans(8)Given f(x)=(x-2)2 and g(x)=-x+3⇒f(x)=x2-4x+4 and…

Q: The Domain of f (x) is [2, 0) and range of f(2) is [1, 3]. then Select one: O a. domain of f(x) is…

A:

Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: Given g(z)- In(8z +z), the derivative g(z) is %3D O 8z + O 9z O 72z +1 7278+1 O 72r +1

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Q: The primitive of the function f(x)=x√√2+x² whose graph passes throu the point P=(√2,0) is: (a) =—=…

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Q: 3) Let f(x) = and g(x) = 2 +x 1-3 x Compute and simplify (f g) (x), then state its domain.

A: Given: f(x)=x2+xg(x)=11-3x The objective is to find f∘g(x)

Q: 21. Given the functions f(x) each: a.) (fog)(x), = 1 x + 5 and g(x) √2-x, find the following b.)…

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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: Let f(x) = √√√x, g(x) = x + 8 and h(x) = Compute the following uction value. X (f+g)(16)

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Q: If f(x) = 2 and g(x) = x, find (ƒ – g) (x) I,

A: Given functions  We have to find (f-g)(x)=?

Q: 1. Expand (r+ 1)(x – 2)(x + 3)

A: We will explain this using commutative law and associative law of multiplication.

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: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: Question Is f(x) = a4n-2 „4n–4 + x4n-6 + ...+ x² – 1 divisible by g(x) = xª – 1?

A:

Q: 1. For the function g(x) = +7 2Sx+5 a) State the parent function in the form B* and express the…

A: Answer is  in next step .

Q: We have f(x)=(x+1) 1/2 , g(x)=x - 2 +1, h(x)=2 x, and k(x) = x 2 + 1. Identify which of the…

A: (a) f(x)=(x+1)2 This function is a Polynomial Function. This Function is Algebraic but not rational.…

Q: Example 19-29. If U, is a rational function of the second degree, prove that : b+c \a-b)(a – c) (c +…

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Q: Let f(x) = x4 − 9x3 + 23x2 − 15x − 10. Find an integer n1 so that f(x) has a root between x = n1 and…

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Q: 2. The possible rational zeros of the function p(x)=x³+ 2x²+ 2x+ 6 are: (a) ±1#2,±3 (b) +1,+2,+6 (c)…

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Show that x - c is not a factor of f (x)for anyreal number c.

A: We have given fx=-x4-3x2-2 We can see here fx&lt;0 for all x belong to set of real numbers. If x-c…

Q: 1. Find the zeros of f(x) = x³ + 4x? + 3x. x = 0, x = –3 || x = 0, x = –3, x = –1 x = 0, x = 4 %3D -…

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Q: 2x + 5 Find all the asymtptotes of f(x) : x – 1

A: We need to find asymptotes.