If $f ( x ) = 10 x + 7$ And $g ( x ) = x ^ { 2 } - 7 x$

question 33

Multiple Choice

If $f ( x ) = 10 x + 7$ and $g ( x ) = x ^ { 2 } - 7 x$ , find $( f - g ) ( x )$ .

• A) \(( f - g ) ( x ) = 10 x ^ { 2 } - 70 x + 7\)
• B) \(( f - g ) ( x ) = 10 x ^ { 3 } - 63 x ^ { 2 } - 49 x\)
• C) \(( f - g ) ( x ) = - x ^ { 2 } + 17 x + 7\)
• D) \(( f - g ) ( x ) = x ^ { 2 } + 3 x + 7\)

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Definitions:

Variable-ratio

A schedule of reinforcement where a response is rewarded after an unpredictable number of responses, making it a powerful maintenance strategy.

Conditioned Reinforcer

A stimulus that has acquired the capacity to strengthen desirable behavior through its association with a primary reinforcer.

Discriminative Stimulus

A specific stimulus in the presence of which a particular response is more likely to be reinforced, and in the absence of which a response is not likely to be reinforced.

Primary Reinforcer

An innately satisfying stimulus, such as food or warmth, that does not require learning to become desirable and motivates behavior.