If f = {(1,2),(2, 3) , (3, 0) , (0, 1)}, then f (f (1)) If f (x) = and g(x) = V¤, then () (16) %3D %3D If f (x) = V65 – r and g (x) = V² – 12, then (f - 9) (4) = %3D Given the functions f (x) = Vx + 3 and g (a) =, what is the domain of (f + g) (x)? %3D 3+2 none of these O -3, 0) O (-3, 00) O (-00, -3) O(-00, -3) U (-3, 00)

Q: f(3) = 2, f(5) = 4, g(2)=5, and g(4) =3. What is the value of g(f(5))?

A: We have to find the value of gf5 where it is given that: f3=2, f5=4, g2=5, g4=3. Here, f5=4…

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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Q: 4 -2 f(x) = -5x* + 2 + 3x %3D differentiate each function with respect to x

A: Differentiate with respect to x.

Q: If f(x, y) = 1 then 3(3x–2y) * is given by: | O None of these 4 (3x-2y)3 (3x-2y)3 - (3x–2y)³ 4 -…

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Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x + 1) + 1

A:

Q: Let f(x) = - 4x- 1, h(x)= - X- 3. | Find (fo h)(4). (f o h)(4) =

A: Given  f(x)=-4x-1h(x)=-x-3 to find foh(4)

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Given that f(x) = x² 5x and g(x) = x – 4, calculate %3D - (a) fo g(- 4)= (b) g o f( – 4)= > Next…

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Q: the functionf and g are given by f(x)= x – 1 and g(x) = x², then D, =

A: Answer and explanation is given below....

Q: (4) For the functions f(x) = Vx- 3 and g(x) = Vx+2, find and determine the domain %3D in each case:…

A: As you have asked multiple question, we will answer first question only. lf you want any other…

Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If f-1(15) = 3, Which of the following can be f (x)? a) f(x) = V5x +1 b) f(x) = 7x -5 c) f(x) = x3 -…

A: We will use concept of function and inverse function.

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: Solve using method of undetermined coefficients: y" + y' - 2y = x². %3D

A: Solution :-

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: Suppose the point (-3, 10) lies on y = f(x) and the point (2, -3) lie point on the function y =…

A: Introduction: The function f(g(x)) or (f ∘g) represents the combination of functions f(x) and g(x),…

Q: If f(x) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

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Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

A:

Q: If f(x) = x* + 8, g(x) = x – 7 and h(x) = Va, then %3D - f(g(h(x))) =

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

Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: 2. (a) (5 points) Let f(x) = Vr +1 and g(x) = x² + 2x. Find (f o g)(1) and (go f)(1). %3D %3D 1+ x…

A:

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: -3 f(x) 9 X PH $ A) f(x)=2x-3 B) f(x)=-2x+3 C) f(x)=2x-1 D) f(x)=-2x+1 I 1 The table above shows…

A: A linear function is of the form y=ax+b. where x is the independent variable and y is dependent…