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Chapter 10: Exponential and Logarithmic Functions

Q. 36

Page 1004

In the following exercises, determine whether or not the given functions are inverses.
f(x)=5x-4andg(x)=x-45.

Q. 360

Page 1061

In the following exercises, for each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one.

(−3,−5),(−2,−4),(−1,−3),(0,−2),(−1,−1),(−2,0),(−3,1)

Q. 361

Page 1061

In the following exercises, for each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one.

(−3,0),(−2,−2),(−1,0),(0,1),(1,2),(2,1),(3,−1)

Q. 362

Page 1061

In the following exercises, for each set of ordered pairs, determine if it represents a function and if so, is the function one-to-one.

(−3,3),(−2,1),(−1,−1),(0,−3),(1,−5),(2,−4),(3,−2)

Q. 363

Page 1062

In the following exercises, determine whether each graph is the graph of a function and if so, is it one-to-one.

(a)

(b)

Q. 364

Page 1062

In the following exercises, determine whether each graph is the graph of a function and if so, is it one-to-one.

(a)

(b)

Q. 365

Page 1062

Find the Inverse of a Function In the following exercise, find the inverse of the function. Determine the domain and range of the inverse function.

[(-3,10),(-2,5),(-1,2),(0,1)]

Q. 366

Page 1062

In the following exercise, graph the inverse of the one-to-one function shown.

Q. 367

Page 1062

In the following exercises, verify that the functions are inverse functions

f(x)=3x+7andg(x)=x-73

Q. 368

Page 1062

In the following exercises, verify that the functions are inverse functions.

f(x)=2x+9andg(x)=x+92

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