For the Given Functions F and G, Find the Requested $$f ( x ) = \frac { 7 x - 6 } { 6 x - 1 } ; g ( x ) = \frac { 4 x } { 6 x - 1 }$$

question 219

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = \frac { 7 x - 6 } { 6 x - 1 } ; g ( x ) = \frac { 4 x } { 6 x - 1 }$$
Find $f + g$ .

• A) \(( \mathrm { f } + \mathrm { g } ) ( \mathrm { x } ) = \frac { 11 \mathrm { x } - 6 } { 6 \mathrm { x } - 1 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 1 } { 6 } \right\}\)
• B) \(( f + g ) ( x ) = \frac { 11 x - 6 } { 6 x - 1 } ; \{ x \mid x \neq 0 \}\)
• C) \(( f + g ) ( x ) = \frac { 11 x - 6 } { 6 x - 1 } ; \left\{ x \mid x \neq \frac { 1 } { 6 } , x \neq \frac { 6 } { 11 } \right\}\)
• D) \(( \mathrm { f } + \mathrm { g } ) ( \mathrm { x } ) = \frac { 3 \mathrm { x } + 6 } { 6 \mathrm { x } - 1 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 1 } { 6 } \right\}\)

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Definitions:

Pointillism

An art technique in which small, distinct dots of color are applied in patterns to form an image.

Impressionist Technique

An artistic method developed during the late 19th century that focuses on capturing the momentary effects of light and color.

Additive Colour Mixing

A process of mixing colors of light, where combining different wavelengths of light adds up to produce a new color, as opposed to subtractive color mixing.

Subtractive Colour

A color model that explains the mixing of colors by reducing light that would otherwise be reflected by the substrate.