SLS - Math 11 - Ch 5.1-5.3 - Function Notation
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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f(3)+2g(-1) | 5
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(f+g)(x) | = x^2 + 2x - 3
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(f-g)(x) | -x^2 + 2x - 3
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(fg)(x) | 2x^3 -3x^2
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(f/g)(x) | = (2x - 3)/(x^2)
restriction: x doesn't equal 0
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When do you have to list restrictions? | Whenever there's an x on the bottom of a fraction. Sometimes teachers will NOT take off marks. But you're safest to write it each time.
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f(g(x)) | 2x^2 - 3
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f(f(x)) | 4x - 9
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g(g(x)) | x^4
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(fg)(-3) | -81
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f(f(0)) | -9
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(g/f)(4) | 16/5
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the inverse of f(x) | (x + 3) / 2
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the inverse of g(x) | square root of x
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What are the steps to prove whether or not f(x) and g(x) are inverses of eachother? | Plug each function into the x variable of the other. If both simplify to x, they are inverses.
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
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Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
slscarrie
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