QuestionEvaluate and for: (a) , (b) .
Studdy Solution
STEP 1
Assumptions1. We have two functions, and .
. We need to evaluate the expressions and .
3. The notation means and means .
STEP 2
First, we need to evaluate the expression . This means we first apply the function to , and then apply the function to the result.
STEP 3
Now, plug in the value into the function .
STEP 4
Calculate the absolute value of .
STEP 5
Now that we have the result of , we can plug this into the function .
STEP 6
Plug in the value into the function .
STEP 7
Calculate the result of .
So, .
STEP 8
Now, we need to evaluate the expression . This means we first apply the function to , and then apply the function to the result.
STEP 9
Now, plug in the value into the function .
STEP 10
Calculate the result of .
STEP 11
Now that we have the result of , we can plug this into the function .
STEP 12
Plug in the value into the function .
STEP 13
Calculate the absolute value of .
So, .
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