Let f(x) and g(x) be defined by f(x)=4-x; 5+x x<0 g(x) = x²+2 x≥0 (a) Evaluate (f+9)(-2), (f-9)(-1), (fg)(1) and (f/g)(2). (b) Find all x for which f(x) = g(x). You must give the exact answer and show all working.

Q: Find (f/g)(x) if f(x)=x+2 and g(x)=x2+4x+4. Choose from the answers below. a) (f/g)(x)=x+2 b)…

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Q: √²³₁(−12xy² + 8x³y + 3)dxdy

A: LetWe have to evaluate the above integral.

Q: f(x) = x2 + 1 and g(x) = x - 3, find (a) (f + g)(x), (b) (f - g)(x), (c) (f * g)(x), (d) (f/g)(x),…

A: We have to find domain of function

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: f(x) = (x+6)² +2 -6x + 19 for for Find ƒ(1) x 3

A: f(x)={(x+6)2+2 for x≤−5−6x+19 for x≥3

Q: let f(x)= x2-3x-54/x2-1 and g(x)= x2+5x-6/x2+2x+1 find and simplify (f/g)(x)= ?

A: We can solve this as follows:

Q: d. y= x² + y x + cos y

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

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Q: Find f(f(f(1))) given 2 +3 2x – 6 if 2 5 f(f(f(1))) =

A: Given query is to find the indicated composite function.

Q: Convert f(x) = x² + 8x - 4 to vertex form O f(x) = (x+4)² - 20 O f(x) = (x-8)² - 4 O f(x) = (x+8)² -…

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Q: Let f(x)=2x+3 and g(x)=x+√x+2 Find f+g   (f*g)(x)

A: Given function is f(x)=2x+3 and g(x)=x+√x+2

Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)…

A: The functions are f(x)=x2-2x   &amp;    g(x)=3-x2

Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

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Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: Let f(x) = 2x + 11 f (x) =

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Q: Let f(x)=-7x-8x-7x+5and g(x)=x³ - 3x-8x-4 a) Find (f-gXx) b) Find (f-gX-1)

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Q: Let f(x) = f(−4) = Evaluate the following: a) f(-4) b) f(0) f(0) = c) f(2) f(2)= d) f(3) -4x + 6,…

A: The given function fx=-4x+6,x≤09x-1,x&gt;0. We have to find the values of f-4, f0, f2 and f3.