Assignment: Advanced Algebra Module Problem Set
1. Graph f(x) = -2x - 3
2. Use the quotient property to rewrite log10( x/10,000).
3. Find the x-intercept and the y-intercept of -3x + 5y = 30. Show your work.
4. Match the function in the 1st column to the Domain in the 2nd column.
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FUNCTION (A-D)
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Domain (a-d)
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A. { (-2, 7), (3, 0), (0, -4), (5, -5)}
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a. Real Numbers such that -3 < x < 3
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B. f(x) = 4-3x
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b. Domain is all Real Numbers except x = 4.
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C. 2/(x-4) = y
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c. Range ( -2, 3, 0, 5)
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D. f(x) = √(9- x^2 )
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d. Domain is all Real Numbers
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5. (g o f)(x) means g(f(x))
Find ( g o f)(3) if f(x) = -4x + 2 and g(x) = x^2+1. Show your steps/work.
6. Rationalize the denominator: √b/(10- √b)