See attached document.
Use the given pair of functions to find the following values if they exist.
(Hint: Please see section 5.1 of the ebook)
(g ◦ f)(0)
(f ◦ g)(−1)
(g ◦ f)(−3)
(f ◦ g) (-2)
(f ◦ f)(−2)
Use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using interval notation.
(Hint: Please see section 5.1 of the ebook)
(g ◦ f)(x)
(f ◦ g)(x)
(f ◦ f)(x)
Show that the given function is one-to-one and find its inverse. Check your answers algebraically and graphically. Verify that the range of f is the domain of f inverse and vice-versa.
(Hint: Please see section 5.2 of the ebook)
Show that the given function is one-to-one and find its inverse. Check your answers algebraically and graphically. Verify that the range of f is the domain of f inverse and vice-versa.
(Hint: Please see section 5.2 of the ebook)
Analytically show that the function 
is one-to-one, find its inverse, and evaluate the following:
(Hint: Please see section 5.2 of the ebook)
Rationalize the denominator, and simplify.
(Hint: Please see section 0.9 of the ebook, exercise number 30, and page 120 in Section 0.9)
Solve the equation
(Hint: Please see section 5.3 of the ebook, exercise numbers 22 and 23)
(This means x raised to the power of 3/2 is equal to 27)
Find the inverse of the function from the ‘procedural perspective’ discussed in Example 6.1.5
(Hint: Please see section 6.1 of the ebook)
Find the inverse of the function from the ‘procedural perspective’ discussed in Example 6.1.5
(Hint: Please see section 6.1 of the ebook)
(Hint: Please see section 6.5 of the ebook, Exponential Regression Model)
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| The data at the right shows the cooling temperatures of a freshly brewed cup of coffee after it is poured from the brewing pot into a serving cup. The brewing pot temperature is approximately 180º F.
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