Find the Inverse of the Function $$f ( x ) = 5 x ^ { 3 } + 7$$

question 150

Multiple Choice

Find the inverse of the function.
- $$f ( x ) = 5 x ^ { 3 } + 7$$

• A) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { \frac { x - 7 } { 5 } }\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { \frac { x + 7 } { 5 } }\)
• C) Not a one-to-one function
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \frac { \mathrm { x } } { 5 } } - 7\)

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Definitions:

Capacitor

A device made with two conductive plates separated by an insulator or dielectric.

Polarized Capacitors

Capacitors that are sensitive to polarity.

DC

Direct Current, a type of electrical current where the flow of electric charge is in one direction.

Series Connection

A method of connecting electrical components end-to-end, so the same current flows through each component.