Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y = g(x). (c) Find y = f(g(x)) and y = g(f(x)). Are these two composite functions equal? Explain your answer.

Q: Find the equation of the function g(x) described above.

A: We know that if the graph of function y=f(x) is stretched by a units(a>0, shifted to the right by…

Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: Is the function f(x) = 1 the same as the function g(x) = xx

A: Given: Is the function f(x) = 1 the same as the function g(x) = xx

Q: What does f (0) represent?

A: The graph of a function, f(x) is the set of points, (x, f(x)), that make the function a true…

Q: Does the function f (x) = 4 have an inverse? Explain your answer.

A:

Q: f(X) = 2/X       g(X) = X+1/9     (What is the domain?)

A:

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

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: Consider the two functions given below: 1 f(x) = /x- 8, g(x) = x-8 Identify the domain of g o f (x)

A: The functions are given by fx = x-8, gx = 1x-8 To evaluate: The domain of g∘fx

Q: A function f is defined by f(x) = 5x + 2. Find the following. (a) f(0) (b) f(4) (c) f(-2)

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Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: Consider the following functions: f(x)= x2+3 and g(x) = (1)/(x-4)   1) Find f (g(x)) . You are not…

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Q: Suppose we have two functions. One is P(t) , which models the number of photographers entering the…

A: (a) The function P(F(x)) would not make any sense because F(x) s the function  and it will give…

Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

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Q: function. You can see that this function does not have an inverse because it is not one to one. The…

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Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment