Consider the function h(x) 2 x5 +3 Write h(x) as a composite function, f(g(x)), determine each of the following. 1. The formula for the outside function f(x)= 2. The formula for the inside function g(x)=

Q: Write a formula for the function g(x) obtained when the graph of f(x) = 1/x is shifted down 3 units…

A: We will use basic of plotting.

Q: a) For all real values of X (except for X = 4/7), function f1 is defined by %D 3 fi(X) = 4 – 7X…

A: The composite function is defined for 2 or more functions. These functions that form the composite…

Q: Express the given function h as a composition of two functions f and g so that h(x) = (f o g)(x). 1…

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Q: 2. Consider a ball thrown in the air (f) defined by the formula f(x) = (3 + x)^2 whose domain is the…

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Q: rite a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 10 units…

A: We write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 10…

Q: Let's look at an example involving a generic function. Given that f(x) = x² +5 (where f(x) = y) and…

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Q: 8. For each function, graph the function and its inverse. If the inverse is a function, state the…

A: The domain of a function is the set of all possible values of x for which f(x) exists. The range of…

Q: F(x) =/4 – Vx

A: Given data is : fx=4-x     To find domain and range of function fx

Q: The function h is defined as follows. h(x) = -4x² - 4 If the graph of his translated vertically…

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Q: Use the tables for functions f and g to evaluate each. f(x) g(x) (f - 9)(6) = f(-5) = -5 -3 4 2 1 -5…

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Q: Determine the domain and range of the following function f(x) = 3-x

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Q: For each statement, explain why it must be true, or use an example to show that it can be false. •…

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Q: Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 9 units…

A: To obtain the function g(x) from the graph of f(x) = |x| shifted down 9 units and to the right 15…