Functions P, Q, R and S are composed in some way to make a new function, f(x).

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Functions P, Q, R and S are composed in some way to make a new function, f(x).

For each of the following, write f(x) in terms of the functions P, Q, R and/or S, and state the domain and range for each composite function.

a. f(x) = x2 + 4x + 3

b. f(x) = 2x + 1   

c. f(x) = x

d.

e.

f.

g. f(x) = x − 1

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