The Function F Is One-To-One $$f ( x ) = 2 x + 8$$

question 45

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = 2 x + 8$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 8 } { 2 }\)
• B) \(f ( x ) = \frac { x - 8 } { 2 }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { \mathrm { x } + 2 } { 8 }\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 8 } { 2 }\)

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Definitions:

Experimenter Bias

A form of bias introduced by the experimenter whose expectations about the outcome of the experiment can be subtly communicated to the participants.

Subject Bias

A form of bias introduced into scientific or experimental research by participants' expectations, treatment, or response to the knowledge that they are being observed.

Sampling Effect

A statistical effect in which the observed variability is not representative of the underlying population due to the sample size or method of selection.

Placebo Effect

A phenomenon where individuals experience a perceived improvement in condition solely because they believe they are receiving treatment, despite no active therapeutic element being present.