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

question 140

Multiple Choice

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

• A) \(\left( \frac { f } { g } \right) ( x ) = \frac { 5 x - 8 } { \sqrt { x } } ; \{ x \mid x \geq 0 \}\)
• B) \(\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 8 } ; \left\{ x \mid x \geq 0 , x \neq \frac { 8 } { 5 } \right\}\)
• C) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 8 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 8 } { 5 } \right\}\)
• D) \(\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 8 } ; \{ x \mid x \neq 0 \}\)

---

Definitions:

Prefrontal Cortex

The anterior part of the frontal lobes of the brain, involved in complex behaviors including decision making, planning, problem-solving, and regulating social behavior.

Temporal Lobe

A region of the brain involved in processing auditory information and encoding memory.

Neurotransmitter

Chemical substances in the brain that transmit signals from one neuron to another across synapses.

Behaviour

Actions or reactions of an individual in response to external or internal stimuli.