For f(x) = 2x + 6 and g(x) = 2x, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fo g)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of fog is {x }.

Q: 1. Find the inverse of each relation 1. y = 3x2

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Q: Find the domain for each function and express using interval notation. I + xS^ = (x)f b. x2-25 V3x+2…

A: A detailed solution is given below.

Q: Given the following functions, find each of the values: f(x) = x² + x – 12 + + ¤ = (x)6 (f + g)( –…

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Q: Given the function f(x) = - 2x? + 5x + 4, evaluate and simplify the following expressions: a. f(r +…

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Q: Determine  g(-1.2) for the following function: g(x)= 2[x+3] -1

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Q: Determine g(-2.1)for the following function: g(x)=2[x]+5

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Q: Determine the domain for each function. For the functions f(x) = 2 – x and g(x) = x + 6x - 40, find…

A: Given, f(x)=2-x2, g(x)=x2+6x-40 f+g(x)=fx+gx=2-x2+x2+6x-40=6x-38 which is a equation of a straight…

Q: Find the domain of each function: а. f(x) 1 -x + 3 7x + 4 b. g(x) x + 5

A: (a) Given function is: fx=12x+3 Since f(x) is defined for all real values of x, therefore the domain…

Q: Use the functionf (x) 3-5x2, in the next 3 questions to find and simplify the following: %3D

A: See the details solution in below

Q: Given the following functions, evaluate each of the following: f(x) = x² + 3x – 18 g(x) = x – 3 (f +…

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Q: 62 b Answer: Write each of the following functions in a piecewise format and sketch its graph. For…

A: Dear student ,as per bartleby policy we are allow to solve one question at a time.kindly repost…

Q: Use the given functions to find, simplify, and identify the domain of the following combinations. 1z…

A: The given functions are: f(x)=x+3x+8        and         g(x)=-9x-7x-2

Q: For f(x) = x- 3 and g(x) = 5x2 - 3, find the following functions. a. (fo g)(x); b. (go f)(x); c. (fo…

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Q: Express the following function as a purely algebraic function. Answer cot (csc-¹ (5x)) cot (csc-¹…

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Q: Find the inverse, domain, and range of the function 3x + 1 f(x) 4х — 5 -

A: The solution is given as

Q: Write the following equation using function notation. Do not add any spaces. 9y – 26x + 6 +y= 10x –…

A: 9y-26x+6+52y=10x-3+52y On simplification, we get ⇒9y-26x+6=10x-3⇒9y=10x-3+26x-6⇒9y=36x-9⇒y=4x-1

Q: Evaluate this function at x=6. Express your answer as an integer or simplified fraction. If the…

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Q: Given the following functions, evaluate each of the following: f(r) = x + 3x 18 %3D g(x) = x + 6 (f…

A: As we know that; a). f+gx=fx+gxb). f-gx=fx-gxc).   f·gx=fx·gxd).    fgx=fxg(x) Given: fx=x2+3x-18 ;…