4. Determine whether the given functions f(x) and g(x) are inverses of one another. Justify your response. - F(x) = x² = 7 and g(x) = 2√√√x +7 2

Q: For the pair of functions, find the indicated domain. 1 X-7 For f(x)=√x-2 and g(x) = Find the domain…

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Q: Given two functions f(x)=8x and g(x)=3+x. Find the composition of two functions. f(g(x)) = g(g(x))=…

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Q: 3. Let f(x) = 3x + 9 and g(x) = √4x². Find the functions listed determine their domain. a. (f -…

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Q: Write the given function as the composition of two functions. 3 y = -√√13+7x Choose the correct…

A: SOLUTION: Given that , a function y=-13+7x3 Now we have to express the given function as composition…

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: For f(x)=x+1 and g(x)= 2x +5, find the following functions. a. (fog)(x), b. (g of)(x), c. (fog)(-2),…

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Q: For an electric car, the number of miles that can be driven powered by only batteries depends on the…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Given the function f(x)=(x−1)(x+5)(x−10) Determine the roots of the function f . Enter your answer…

A: We have       f(x) = (x – 1)(x + 5)(x – 10)

Q: Given two functions f(x)=8x and g(x)=3+x. Find the composition of the  functions listed.

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Q: if f(x) = x³ - 27 what type of function would g(x) likely be in order to be the inverse? A. a power…

A: 1: Stick a "y" in for the "f(x)"  2: Switch the x and y.  3: solve for y:  4: Stick in the…

Q: For f(x) = x2 +3 and g(x) = x² - 7, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: f(x)=x2+3 and g(x)=x2-7

Q: 2. Use the function f(x) = -3x + 7 to answer the questions. a. What is f(0) ? b. What is f () ? c.…

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Q: 8. Let f(x) = x² - 3x + 1 and g(x) 2x² + 5x - 3. a. Find f(x) - g(x + 2). Simplify as much as…

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Q: 23. For f(x) = 9x and g(x) = x + 4, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f…

A: Solution(d) :

Q: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

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Q: I. Let f(x) = x + 2 and g(x) = x² + 4x+4. Perform each function operation and then find the domain…

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Q: Consider the functions f(x) = √√ and g(x) = x + 4. a. Find and simplify (fog)(x). Determine its…

A: Given, .

Q: a) Given the functions below, state the domain and range. i. f(x) = 8x+15 2х-1 ii. y = 3x+8

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Q: Let f(x) = 4x – 1 and g(x) = x + 4. Find (fo g)(6). Then (fo g)(6) = | - (Simplify your answer.)

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