Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. x+2 f(x) = 2x -7 and g(x) = 7 a. f(g(x)) = %3D (Simplify your answer. Use integers or fractions for any numbers in the expression.) b. g(f(x) : (Simplify your answer. Use integers or fractions for any numbers in the expression.) C. f and g are not inverses of each other. O fand g are inverses of each other.

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A: Given: - The integral is, ∫051x+4dx (a) To find: - The average value of f on 0,5

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A: Solving the problem by doing the fraction decomposition.

Q: Use the graph of f and g. P(x) = f(x)g(x) %3D f(x) 9(x) = g(x) %3D 107

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=5

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A: Given query is to find indicated limits.

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A: Given: g(x)=-5x3+5x2+8 To find vii) limx→-1g(x) viii) g(-1) ix) limx→∞g(x) x) limx→-∞g(x)

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A: h(t) =-16t2-30t+600diff w.r.t  "t"dhdt=-16(2t)-30+0dhdt=-32t-30 ⇒ v(t) =-32t-30 ; t1=1,t2=3  

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A: We know that, the equation of the tangent plane: nuu-u0+nww-w0+nzz-z0=0 Where, n→=nui+nwj+nzk is the...

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A: To find out the correct answer.

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A: To convert -240° into radians.

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A: given graph

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A: f(x) = f(-x), then f(x) is even function,  f(x) not equal to f(-x), then f(x) is odd function. 

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Q: Last

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Q: x² +2x+1 6.) f(x) = 3

A: Given :f(x)=x2+2x+13

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A: Given,            ∫exex-4ex+5dx

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A: Given: 3x=5x+4

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A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

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A: This is a partial differential problem

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A: For different different paths , we can find limit.