(i)Suppose that g(x) = 1 + √x and f(g(x)) = 3+2√x+x, then find the function f(x) and (ii) let us consider that f(r) - ar ih

Q: Find the domain of the function, f(x) = √[2x/(x + 1) - 1]

A: f(x) = √[2x/(x + 1) - 1] we know that the value under the root is always positive. [2x/(x + 1) - 1]…

Q: (b) Find f-¹(y) for f(x) = √²-1.

A:

Q: For the function f(x) = x +7, find f(x). | Of (2) = a -7 Of (x) = x5-7 Of () = (-7) OS (2) = + 7

A: Given:…

Q: Given two functions f(x) = x² – 3x and g(x) : - = x + 13, find the following. a) f( – 2) + g( – 2)…

A:

Q: Use the functions given by f(x) = 53√x - 1 O 1253√x - 1 53√√x + 1 O 1253√√x + 1 05√√x + 1 ○ 1 125 x…

A: given  f(x)=1125x-1given  g(x)=x3

Q: Use the functions given by f(x) = x + 4 O-43√x +4 O-43√x-4 ○ 43√x-4 43√x + 4 1 64 -x 4 and g(x) = x³…

A:

Q: Let f(x) = x - x. What is the simplest form of , h70? h

A: Please refer to the image below

Q: Consider the functions f (x) = 5x + 3 and g(x) = v8 – 2x. Find the domain of (gof)(x). %3D

A:

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

A:

Q: Find functions f and g so that fo g=H. H(x)=√x² +12 Choose the correct pair of functions. O A. f(x)…

A: We have given a composite function  f○g=H Hx=x2+12 Checking pairs (f○g)x=fgx Afx=x , gx=x2+12…

Q: 34. f(x)=x+2 2x + 1 ›8(x)=√x. (fog)(x) = (gof)(x) =

A:

Q: Evaluate the indicated function for f(x) = 6x +3 and g(x) = 5x² − 1 a. (f + g)(3) b. (fg)(0)

A:

Q: c) Identify two functions, f(x) and g(x), in which (f o g)(x) will have the domain {x €R|x2 2, x #…

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Q: Let f(x)=-x2-3x+5. find f(3).

A: To find the function in the given value, replace the 3 in place of x to obtain the result.

Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

Q: 1. Find the natural domain f(x) = 3 √2x+1

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Q: If f(x)=1/x5​, compute f(2) and f ′(2).

A:

Q: ] If f(2x+3)=4x²-2x+3, find f(x).

A: