Question 1

Use composition to verify whether or not the inverse is correct.
-$$f ( x ) = x ^ { 3 } + 8 , f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 8 }$$

Accepted Answer

A) True 
 B)False

Question 2

Determine whether the given function is one-to-one. If so, find a formula for the inverse.
-$$f ( x ) = \frac { 5 } { x - 4 }$$

Accepted Answer

A)  Not a one-to-one function 
B)  $f ^ { - 1 } ( x ) = \frac { x } { - 4 + 5 x }$ 
C)  $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 4 \mathrm { x } + 5 } { \mathrm { x } }$ 
D)  $f ^ { - 1 } ( x ) = \frac { - 4 + 5 x } { x }$ 
A)  Not a one-to-one function 
B)  $f ^ { - 1 } ( x ) = \frac { x } { - 4 + 5 x }$ 
C)  $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 4 \mathrm { x } + 5 } { \mathrm { x } }$ 
D)  $f ^ { - 1 } ( x ) = \frac { - 4 + 5 x } { x }$

Use composition to verify whether or not the inverse is correct. - $f ( x ) = x ^ { 3 } + 8 , f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 8 }$

Determine whether the given function is one-to-one. If so, find a formula for the inverse. - $f ( x ) = \frac { 5 } { x - 4 }$

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Exam 12: Exponential Functions and Logarithmic Functions

Use composition to verify whether or not the inverse is correct. - f(x)=x3+8,f−1(x)=x+83f ( x ) = x ^ { 3 } + 8 , f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 8 }f(x)=x3+8,f−1(x)=3x+8​

Determine whether the given function is one-to-one. If so, find a formula for the inverse. - f(x)=5x−4f ( x ) = \frac { 5 } { x - 4 }f(x)=x−45​