Select a formula for f (x) and g (x) so that f (g (x)) = e*+l + 2 (x + 1) f (x) = [Select ] g (x) = [ Select ] X+1 2(x+1)

Q: (i) Find the Prüfer sequences for the following labelled trees. (See eClass for the graphs.) (ii)…

A: (a) The given Prufer code is of length 8, hence we have a tree with 8+2=10 vertices.

Q: If f, g, and h are the given functions were f(x) = 5                g(x) = x2   h(x) = x - 5…

A: The given question is of the composite function which is solved in step 2.

Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

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Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: Given: fx=1x, gx=1x. To find: f o gx=g o fx=x Solution: Finding f o gx. f o gx=fgx=f1x=11x=x

Q: find f(a/b-1)

A:

Q: f(x)= (x2 -4x)/(x-4) g(x)=x is it true f=g?

A: Given,

Q: f(x)=x-4 and g(x)=x^2 +1 . Determine if f is one to one and hence find f.g(4

A: we have been given two functions f(x)=x-4 and g(x)=x2+1   we have to determine if f is one to one so…

Q: gf(x)=x²-1, show that: 3 [ f(x) +1]= x+4+3 f(x) = f(x) X-1

A: Given function is f(x) = x2 - 1

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: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

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Q: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

A:

Q: Explain why both f (x) = x/ (1- x4) and g(x) = p are algebraic g(x) = -x / √(1-x4) functions.

A: f(x)=x1-x4 and g(x)=-x1-x4

Q: Find a rule for g-(x) if: g(x)=3x +2 %3D g(x)=| %3D

A: For finding inverse of the function g(x) replace x by y and g(x) by x and solve for y.

Q: find (f+g)(x) (f-g)(x) (f•g)(x) (f/g)(x) and their domains

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Q: Determine g(x)g(x) using the given information. f(x)=x^2+8f(x)=x2+8 (f+g)(x)=(x+5)2

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Q: If f(x) = 3x - 4 and g(x) = 6x² + 8x +1 find 1. f-g (x) 2. g + f (3) 3. f* g (5)

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Q: If F(x)=4-x and g(x) = 2x +3, find a value of such that F(x - 2) = g(2x). 40 22/10 0-2 O 0-1/3 O LO…

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Q: Suppose f(x) = x2 + 1  and g(x) = x + 1    Then (f + g)(x) = (f - g)(x) = (f/g)(x) = (f ∘ g)(x) =…

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Q: Given f(x)=x²+3x+2_g(x)=, Find f(g(3))

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