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Determine Whether the Function Is One-To-One f(x)=54xf ( x ) = 5 - 4 x

Question 46

Multiple Choice

Determine whether the function is one-to-one. If it is one-to-one find an equation or a set of ordered pairs that defines
the inverse function of the given function.
- f(x) =54xf ( x ) = 5 - 4 x


A) one-to-one; f1(x) =154x\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 5 - 4 \mathrm { x } }
B) one-to-one; f1(x) =x+54\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { - \mathrm { x } + 5 } { 4 }
C) one-to-one; f1(x) =x54\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 5 } { 4 }
D) not one-to-one

Correct Answer:

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