Function Inverses Answers
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1
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If and , which expression could be used to verify that is the inverse of ?
A
one-third (one-third x)
B
Option
C
Option
D
Option
2
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Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
A
The graph of f(x) passes the vertical line test.B
f(x) is a one-to-one function.C
The graph of the inverse of f(x) passes the horizontal line test.D
f(x) is not a function.3
Which function is the inverse of ?
A
f Superscript negative 1 Baseline (x) = one-half x minus three-halves
B
Option
C
Option
D
Option
4
If and , which expression could be used to verify g(x) is the inverse of f(x)?
A
one-fifth (one-fifth x + 5) + 5
B
One-fifth (5 x minus 25) + 5
C
StartFraction 1 Over (one-fifth x + 5) EndFraction
D
5 (one-fifth x + 5) + 5
5
If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?
A
On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).
B
On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).
C
On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).
D
On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).
6
Which function has an inverse that is a function?
A
b(x) = x2 + 3B
d(x) = –9C
m(x) = –7xD
p(x) = |x|7
If , what is ?
A
Option
B
Option
C
Option
D
Option
8
If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?
A
(0, –2)B
(1, –1)C
(2, 0)D
(3, 3)9
Which function has an inverse that is also a function?
A
{(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)}B
{(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}C
{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}D
{(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}10
Which function has an inverse that is also a function?
A
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}B
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}C
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}D
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}Did you find these answers helpful?
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