5. g(x) = x² - 4x-5 and h(x) = VI. Consider the following functions: x²-1 2x-10 32-1 or f(x) = 2x, g(x)=√x + 3, and h(x) = x² - 4, and i(x) = x+2 X Determine the indicated composition of functions. 1. (fog)(x) 2√x +6 2. (gof)(x) √2x + 3 3. (goh) (x) √√² + 3 4. (hoi) (x) _-3x² - 4x + 4 X² 5. (iogoh) (x) 2√x+² +6 2x-1

Q: CHECK Your Una 1. Simplify. b) a) (3x² - 7x + 5) + (x²-x + 3) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² -…

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Q: Domain and hange. Find the domain and range of the function. 5x² + 4 for 0 4 x 42 L

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Q: Find the inverse of f(x) = 3 √5x² +2 What is its domain?

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Q: Given f(x) = 5x -1 and g(x) = 3x +13, find the value of (f-g)(x). %3D a. 2x-12 b. 2x + 12 c. 2x + 14…

A: We have to find function value

Q: The functionf is one-to-one. Find its inverse. 5 18) f(x) - 4x +3 18) A) x) =5-3x B) flx) = 4x 3x -…

A: We have to find inverse

Q: 9. Given f(x)=4x+3 and g(x)=x, find (g•fXx) 10. Given f(x)=x-1 and g(x)=xr +2x-8, find (gofXx)

A: Question no. 9,Given,            fx=4x+3  and gx=x2

Q: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x²+2x+2xh+h²+h-10 h OB. OC. 1…

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Q: 4. Find the Factors of the function. f(x) = x* - x³ +3x? -9x-54 zero: x = 3

A: Given query is to find find the factors of the expression.

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: For f(x) = 4x-3 and g(x)=5x -4 find the folowing. a. (fog)(x) b. (gof)(x) c. (fog)(2) a. What is…

A: Given functions are: fx=4x-3 gx=5x2-4

Q: Find functions f and g so that fog=H. H(x) = (9x+3)³ Choose the correct pair of functions. O A.…

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Q: y = (2x+5) (x-4) y = (4x³- 5x)³ 11. y = 10. ƒ(x) = 2x-1 x+6

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Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: If f(x)=x² - 6x + 5 and g(x)= - 4x, find the following compositio (gof)(-5) (gof)(-5) = (Simplify…

A: Solve the function

Q: For the functions f and g find a. (f+ g)(x), b. (f- g)(x), c. (f• g)(x), and d. |(x). f(x) = x - 8,…

A: Solution ) f (x) = x - 8 , g (x) = 7x + 9 a ) ( f + g )x = f(x) + g (x)  ( f + g )x  =  x - 8 + 7x +…

Q: L3Q1. Find (f/g) (x), if f(x) = 5x + 2x2 and g(x) = x. A.2 x + 5 B.2x2 + 5

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Q: Given f(x) = 3x2 – 24x + 15, a. Write f(x) in standard form. b. What is the axis of symmetry of…

A: Given query is to write the standard form and find symmetry.

Q: Find the difference quotient for the function g(x) = 5x2 + 7x - 10 and simplify it. A. 10x+5h+7 B.…

A: To find the difference.