If \( f(x) = \begin{cases} 2x - 4 & \text{if} -2 \leq x \leq 4 \\ x^3 - 4 & \text{if} 4 < x \leq 6 \end{cases} \), find: (a) \( f(0) \), (b) \( f(1) \), (c) \( f(4) \), and (d) \( f(6) \). (a) \( f(0) = \) [ ] (b) \( f(1) = \) [ ] (c) \( f(4) = \) [ ] (d) \( f(6) = \) [ ]

Q: Let f(x) = 3x + 4. and g(x) = -6x + 7. (If an answer is undefined, enter UNDEFINED.) (a) Find f(6) +…

A: From the given problem:   fx=3x+4gx=-6x+7   So,   f6=36+4=18+4=22   g6=-66+7=-36+7=-29   a)…

Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

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Q: (x+7 for x 100 a. Find f(20)=_ b. Find f(220)=. c. Find f(100)=_ d. Find f(-100)=.

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Q: (x+2) (x-5) =0

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Q: Let f(x) = x2 and get g(x) = 2x. Find the value of (g ∘ f)(x) (a) 48 (b) 36 (c) 72 (d) 144 (e) 18

A: In (gof)(x), input function is f(x) and output is g(x).  To find ( g o f )(x), one have to plug f(x)…

Q: f(x) = 2x + 3 g(x) = 5x + 7 (a) fo g? (b) go f? (c) (f og)¬1?

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Let f(x) = x² – 2r and g(x) = x + 3. Find each of the following: a. (f + g)(5) b. (f - g)(x) and (f…

A: The given functions are, fx=x2-2xgx=x+3 a. Fiding the function f+g5…

Q: (X+3)(x-8)=0

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Q: Find f(2n + 5) + 4f(3n) if f(x) = -3x2 - 7x - 1

A: Given query is to find indicated function operation.

Q: If y = f(x) in the figure, find the following. y -6 -4 -2 (a) f(5) = (b) f(9) = 12 6 -6- (5, 6)…

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Q: Let f(x) 2x + 4x + 4 and let f(3 + h) – f(3) q(h) Then q(0.02)

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

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Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 7. h(g(-3)) 6. f(h(-9)) 8. g(f(8))

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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: If f(x) = 3x² + 6x – 5, find the following: (a) f(5) = (b) F(-1) = | (c) f(-6) =

A: Given               f(x)=3x2+6x-5we have to find  f(5)    replace x by 5 in f(x) f(-1) replace x by…

Q: f(x) = 2 (x+4)²-3 for 4x - 3 for Find f(-5) x 1

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Q: Given that f(x) = x² – 7x and g(x) : (a) (f + g)( – 4)=| = x + 10, find (b) (f – 9)( – 4)= (c) (fg)(…

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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: Which of the following would be the leading coefficient of f(x)=6-x+7x² ? (1) -1 (3) 7 (2) 6 (4) -7

A: The definition of the leading coefficient helps to find the leading coefficient in the given…

Q: 8. f(x) = x² + 3x – 4, find: (a) f(2), (b) f(-1), (c) f(a), (d) f(a + h). 9. f(x) = 4x² + 2x – 5,…

A: We have to solve question 9,10

Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

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Q: Find the following for the function f(x) - 4x +3x-4. (a) 10) (0) - f(x) (b) f(5) (f) f(x + 2) (c) (-…

A: Find the following for the function f(x)= 4x2 + 3x -4 a) f(0) b) f(5) c) f(-5) d) f(-x) e) -f(x) f)…

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: ささ。 てpo (x)()p 'メ- (Xけ P7 X and (83)

A: Given that                f(x)=1-x2 Now we find (f∘f)(x) .              (f∘f)(x)            =f∘f(x)…