. For f(x) = (x2 - 1) / (x + 4). Find (i) f(1)     (ii) f(-x)     (iii) f(2x)   2. Given f(x) = 2x2 + 5x and g(x) = 3x - 7, find the following (i)  (g + f)(2)                (ii)  (gf)(3)   3. If f(x) = 3x + 7, g(x) = (2x - 6) / 4. Find g[f(x)]

Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

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Q: Given f(x) = -5 - 2x What is f(6)

A: We have given f(x) =-5-2x. We have to find the value of f(6).  For this we can replace x by 6 in…

Q: - If g(x)=-9x+2 evaluate g (0), g (-5) and g(2x+3)

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Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

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Q: f(x) -5 -5 5 2.

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Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: If f (x) = x² +8x, what is the value of f(6)?

A: From the given problem:   fx=23x2+8x   →f6=? means at x=6 fx=? So, f6=2362+86

Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

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Q: If f(x) = (2x + B) / (x - 3) and f(5) = 8, what is the value of B?

A: Given that f(x)=2x+Bx-3 Need to find the value of B.

Q: If f(x)= 2x- 1 and g(x)= 3x + 5, what is f(g(5))?

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Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: If f(x) = x + 6 and g(x) = x² - 5, find the following. b. g(f(0)) d. g(f(x)) a. f(g(0)) c. f(g(x))

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d)…

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Q: If f(x) = 2x +2, g(x) = - 3x - 2x-2, and h(x) = 7x² +5, find f( - 3). f(- 3) =O (Simplify your…

A: Given: fx=2x+2, gx=-3x2-2x-2, hx=7x2+5 For finding value of f-3, we put x=-3 in given fx and…

Q: If f(x)=(3x-a)/(5x-b), for any real number a and b. If f(0)=0 and f(1) is 3, what is f(3/6)?

A: Observe that to solve equations containing n unknown variables, we need at least n equations, hence…