Given f(x) = 2x² + 1 and g(x) = 4x – 5, find the following. %3D (a) (g(2)) (b) f(g(x)) (c) g(f(x)) (d) (g o g)(x) (e) (fo f)(-2)

Q: Given that f(x) = x-10x and g(x) = x + 11, find %3D (a) (f + g)(x)= (b) (f – 9)(x)= (c) (fg)(x)= (d)…

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Q: Given f(x) = 2x2 + 1 and g(x) = 6x - 8, find the followin %3D (a) f(g(2)) 33 (b) f(g(x)) (c) g(f(x))…

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Q: fx)--x +x2 + g(x)%3D4X 16x

A: using difinite integral , area of the shadid region is given by ,A= ∫04f(x)-g(x) dx

Q: Use f(x) = 4x – 3 and g(x) = 3x2 + 2 to find gof %3D %3D

A: Given : f(x) = 4x - 3g(x) = 3x2 + 2

Q: (b) Write z = (3- 3i)+ in the form of x +iy.

A:

Q: 2x – 3 Зх + 1 If f(x) and g(x) find (g – f) (x). %3D X - 4 x - 3

A: Given functions: fx=2x-3x-4gx=3x+1x-3

Q: What are the factors and zeros of the function f(x) = 12x2 + 5x - 2? %3D O (2x + 1)(6x - 1): x O (2x…

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Q: = 3x? – 4x + 1 and g(x) = x² – 5x – 1, find If f(x) (f – g)(x) and (f – g)(2). %3D

A: Given,  f(x) = 3x2 - 4x + 1 g(x) = x2 - 5x - 1 To find (f - g)(x) and (f - g)(2)

Q: If f(x) = 2x + 3x – 1, evaluate the following. %3D (a) f(a) (b) f(-a) (c) f(a + h) f(a + h) – f(a)…

A: Given, fx=2x2+3x-1 a) fa is found as follows: Substitute a for x in the given function.…

Q: If f(x) = 3x + 3, g(x) =2x? - 7x- 2, and h(x) = 7x? - 3, find g(0). %3D g(0) =D (Simplify your…

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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: Let f(x) = 4x – 5 and g(x) = 3x² – 4x + 4. %3D %3D (a) Find f(g(4)). (b) Find g(f(4)).

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Q: 2.r +10 1. Let g(x) = 36 (x) = 5x+4, and r(x) = /6x + 13. %3D %3D (a) Find g(-4). (b) Find (f –…

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Q: If f(x) = 2x2 - 5, f(5) = %3D %3D

A: Given: f(x)=2x2-5 To find: The value of f(5).

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: If f(x) = 2x - 5x + 2 and g(x) = x² – 2x + 3, find (f - 8)(x) and (f – g)(3). %3D

A: Given: fx=2x2-5x+2gx=x2-2x+3 To Find:  f-gx=? and f-g3=?

Q: If f(x) = 3x + 3, g(x) = - 3x2 - 4x + 3, and h(x) = - 4x2 - 6, find g(0). %3D g(0) = (Simplify your…

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Q: If f(x) = x? (g - f)(x) and (g – f)(-1). – 3x + 4 and g(x) = 2x - 5, find %3D

A: The given function is fx=x2-3x+4 and gx=2x-5

Q: For f(x) = -3x² + 5x 2, find %3D f(x + h) – f(x) h+ 0 h

A: fx=-3x2+5x-2

Q: Find (go f)x f(x) = x² g(x) 2x-5 O x2-5 O 4x2-5 O 4x²+25 O 2x2-5 Question 10 f(x) = 10x - 7 g(x) =…

A: We will solve the following

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: If f(x) = x2 + 9 and g(x) = x2 + 12, find (g f)(x). %3D %3D

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Q: If f(x) = x² + 5 and g(x) = x – 4, evaluate the following %3D f(6) a. b. g(6)

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Q: Subtract the functions: f(x) - g(x) where f(x) = -3x + 6 and g(x) = 4x - 2 h(x) = f(x) – g(x) =…

A: Solution is given below...

Q: Given that f(x) = x2 – 10x and g(x) = x + 11, find %3D (a) (f + g)(x)=| (b) (f – g)(x)= (c) (fg)(x)=…

A: Given thatfx=x2-10x and gx=x+11a  f+g x     f+gx=fx+gx     f+gx=x2-10x+x+11     f+gx=x2-9x+11b…

Q: If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B…

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Q: Given that f(x) = x - 11a and g(x)= x +2, find %3D (a) (f + g)(4)= (b) (f – g)(4)= (c) (fg)(4)= (d)…

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Q: If f(x) = - 2x+ 6 and g(x) = 5x +3, find g(f(x)). %3D

A: f(x)=-2x+6 and g(x)=5x+3, find g(f(x))

Q: If f(x) = - 9x - 6 and g(x) = 4x + 8x + 7, find g(f(3)). %D

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Q: If f(x) = - 3x- 4, g(x) = - 5x? - 3x- 3, and h(x) = - 2x² + 6, find f(2). f(2) =O (Simplify your…

A: Given,f(x)=-3x-4,g(x)=-5x2-3x-3,h(x)=-2x2+6. To find: f(2). Solution: Given,…

Q: Find 3[g(4)] if g(x) = -2x + 10 %3D

A: Given: gx=-2x+10 To find: 3g4