The correct works are:
.
The function is given as:
The interpretation when Steven is asked to calculate Blue(s + h) is that:
Steven is asked to find the output of the function Blue, when the input is s + h
So, we have:
Evaluate the exponent
Expand the bracket
So, the correct work is:
In (a), we have:
The difference quotient is represented as:
So, we have:
Evaluate the like terms
Evaluate the quotient
Hence, the correct work is:
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