For the Given Functions F and G, Find the Requested $f ( x ) = \frac { 5 x - 8 } { 9 x - 2 } ; g ( x ) = \frac { 3 x } { 9 x - 2 }$

question 72

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $f ( x ) = \frac { 5 x - 8 } { 9 x - 2 } ; g ( x ) = \frac { 3 x } { 9 x - 2 }$ Find f - g.

• A) \(( f - g ) ( x ) = \frac { 2 x - 8 } { 9 x - 2 } ; \left\{ x \mid x \neq \frac { 2 } { 9 } , x \neq 4 \right\}\)
• B) \(( f - g ) ( x ) = \frac { 2 x - 8 } { 9 x - 2 } ; \left\{ x \mid x \neq \frac { 2 } { 9 } \right\}\)
• C) \(( \mathrm { f } - \mathrm { g } ) ( \mathrm { x } ) = \frac { 8 \mathrm { x } + 8 } { 9 \mathrm { x } - 2 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 2 } { 9 } \right\}\)
• D) \(( f - g ) ( x ) = \frac { 2 x - 8 } { 9 x - 2 } ; \{ x \mid x \neq 0 \}\)

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Definitions:

Multifinality

The principle in developmental psychology that similar early experiences can lead to different outcomes in individuals.

Equifinality

A principle from systems theory suggesting that different actions in a given context can lead to the same outcome.

Dyslexia

Unusual difficulty with reading; thought to be the result of some neurological underdevelopment.

Dyscalculia

Unusual difficulty with math, probably originating from a distinct part of the brain.