Suppose that the functions q and r are defined as follows. q (x) = x² +6 r(x) = √x+9 Find the following. (gor) (7) = [] (rog)(7) = [ 0° 0/0 X S

Q: Suppose that the functions p and q are defined as follows. p (x) =-5x-2 q (x) = 5x+3 Find the…

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Q: Use the variable u for the inside function to express each of the following as a composite function.…

A: The given functions, a) y=5t2-34 b) P=11e-0.4 t c) C=6 lnq6+4. We have to write each of the function…

Q: 1. Find the derivative of the following 9x²-4x+9 a)y = 2(x²-3)²√√3x-1

A: We know that the derivative of a function fx is the rate of change of that function with respect to…

Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: Write the given function as the composition of two functions. y = -√√14+4) 4x Choose the correct…

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Q: Find S° g)(x) and write the domain in interval notation. e) - V2 -x 16

A: f(x) = 3/(x2-16) and g(x) = √(2-x)

Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: a) Given the functions f(x) = 2x – 2 and g(x) = x² – 1. i) Find (fo g)(x). ii) State the domain and…

A: The domain of a function f(x) is the set of all possible values of x for which f is defined. The…

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Q: For f(x) = 4x and g(x) = x+3, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f o…

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Q: Find The derivative fog : 3 Ⓒ y = (3x -x ²+1) " 0 = 3r+2 2r+3 Ⓒ ² = √√√₁+√x (3

A: According to guidelines we only need to solve the first three subpart of question no 1. Rest of the…

Q: Find (ho g)(x) for the indicated functions. h(x) = Vx+4, g(x) = x+3 (ho g)(x) =D

A: Given,          hx=x+4 , gx=5x+3

Q: 2. Given f(x) = 3x2 +4x and g(x) = 2x - 1, find (& simplify) the following: %3D (f-g)(x) = b.…

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Q: If f(x) = sin x and f(a) = 1/4 , find the value of f(a) + f(a + 2π) + f(a + 4π) + f(a + 6π).

A: The given function , fx=sinx and fa=14 To find the value of fa+fa+2π+fa+4π+fa+6π. Solution: since,…