Video Transcript
Evaluate π of negative π₯, given that π of π₯ is equal to three π₯ plus seven.
In this question, weβre given the linear function π of π₯ is equal to three π₯ plus seven. In order to evaluate π of negative π₯, we need to substitute negative π₯ for π₯ in our function. This gives us three multiplied by negative π₯ plus seven. Multiplying a positive by a negative gives a negative answer. So, three multiplied by negative π₯ is negative three π₯. This means that π of negative π₯ is negative three π₯ plus seven.
If π of π₯ is equal to three π₯ plus seven, then π of negative π₯ is negative three π₯ plus seven. The coefficient of π₯ has changed from a positive to a negative.