Lesson Worksheet: Operations on Functions Mathematics
In this worksheet, we will practice adding, subtracting, multiplying, and dividing two functions and finding the composition of functions.
Q1:
If and , then find and fully simplify an expression for .
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Q2:
If and are two real functions where and , determine the value of if possible.
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Q3:
Given that , , and , determine in its simplest form.
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Q4:
Find , where and , .
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Q5:
If and , then .
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Q6:
Given that and are two real functions where and , find the value of if possible.
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Q7:
Given that , where , and , where , evaluate .
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Q8:
If and are two real functions where and , determine the value of if possible.
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Q9:
Find given and .
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Q10:
Given that , find so that .
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