For #'s 11 – 14 , h(x) = (ƒ og)(x) Let h(x)= (5x+1)* - (5x +1) and S(x) = x² – x, find g(x) Let h(x) = \(-3x – 2) and f(x) = vx, find g(x). 13. 14. 39,

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: Let f (x) = x2 - 3 and g(x) = 2x + 1. Find (fg)(2). 2) ***HINT: Start by first finding f (2) and…

A: The given functions are,

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

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Q: 5. Find the V.A. and H.A. of the function 6-9x Sex a). f(x) : b). f (x) : 2x+5 2ex-1

A: Vertical asymptotes: The line x=L is a vertical asymptote of the functionf(x), if the limit of the…

Q: Let f(x) = (x-9)7 – 8, determine f¯¹(x). - ƒ¯¹(x) =

A: To find the inverse of the function f(x) = (x - 9)7 - 8, we need to express x in terms of y, where y…

Q: 16. Let f(x) = -x³ + 3x - 4 and g(x) = 2 – x. Find the composition (f(g)) and its domain. Rep the…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: Define Sx² – 5 if x 1 Calculate f(2).

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Q: Let f(x) 1 and g(x) За + 8. с — 2 Find each of the following: 1 a) f(g(6)) 24 b) f(g(x))

A: Given, f(x)= 3x+6 g(x)= 5x²+7x We know that, (g°f)(x)= g(f(x)) Substituting known values, = g(3x+6)…

Q: For function f(x)=x2 , vertex is the lowest point of this function, which its coordinate is (0, 0).…

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Q: 4 Compute f(g(x)) where f(x) =x* -x and g(x) =x²-11. dx The answer is

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Q: 1 may be viewed as a composite function h(x) = f(g(x)). Find f(x) and g(x). The function h(x) = (7x…

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Q: x² +2x+1, if x -2

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Q: (a) ( (b)( (c) ( (d) ( ) satisfies g(x). ) satisfies g(x). ) satisfies g(-3x). ) satisfies -g(3x).

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Q: 2² – 7x + 12 Explain why f(x) = x – 4 is not the identical function of g(x) :

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