Let f(x) = 4x%/1 and g(x) = 2x/² . Find (fg) (x) and L(x). Then evaluate fg and for x = 16. %3D (fg)(x) = : (g)(16) = (x) = (16) State the domain of (Sg)(x) and (x) . The domain of (fg)(x) is and the domain of (x) is

Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

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Q: (1 point) Let f(x) = x² – 6x and g(x) = x – 6. Evaluate the following - %3D 1. (fo g)(x)= 2. (go…

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Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

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Q: Find f(x) g(x) = (fg)(x). Simplify. f(x) = x2 + 2 %3D g(x) = x2 - x + 9

A: Given, f(x) = x2+2 g(x) = x2-x+9

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: Determine h(x2) for the following function. 4x h(x) = %3D x2 + 9x + 20

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Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: Give f (x) = = and g (x) = 2/, find %3D (a) f · g [ Select] answer and its domain answer [Select ]…

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Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

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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: 8x2

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Q: Let f(x)=x³ and g(x)=Jx, and h(x)=–. Find each of the following: 3 g(h(f(x))) g(h(f(x))) =

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Q: If f(x) = x² – 3 and g (x) = -x + 3, determine where g(x) > f(x). %3D %3D

A: To determine: Where the gx≥fx. Given: The functions are fx=x2-3 and gx=-x+3. Calculation: Substitute…

Q: Consider the functions: f(x) = and g(x) = . %3! %3D Find the expression for the composition of…

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Q: Let f(x) = x+9 and let g(x) = /x. Find the value of (f+g)(x) when x (a) 2 (b) 7 = 4. %3D (c) 9 (d) 5…

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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: Find f(9(x)) when f(x) = 2x +1 and g(r) = 2? +

A: On solving this we will get

Q: 1 and g(x) x – 7 Let f(x) +7. Find and simplify the following: (a) (ƒ o g)(x) (b) the domain of (ƒ o…

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining question…

Q: Let functions f(x) = [x] g(x) = [x] %3D %3D (gof) -(fog) 3. %3D 3.

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Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Find the f(x) = 4x + 1, g(x) = 6x - 2 (a) (f + g)(x) = (b) (f- g)(x) = (c) (fg)(x) = (d) (f/g)(x)…

A: Given f(x)=4x+1   and g(x)=6x-2

Q: Let f(x) and g(x) = 2x +9. %3D Then (fo g)(1) (f o g)(x) %3D

A: Substitute g(x) for x in f(x) to get (f o g)(x). This also means: (f o g)(x) = f[g(x)] Substitute…

Q: Q2. Let S(x) = (x+2), and g(x)= (x+) gof and fog find

A: From the given data:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.