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Math 1090 Resources
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Centre and Radius of a Circle
Composition of Functions
Converting Degrees and Radians
Question: a) Express 60o in radians
b) Express π radians in degrees
Distance and Midpoint
Question: a) Find the distance between (-4, 10) and (4, -5)
b) Find the midpoint of (-4, 10) and (4, -5)
Question: a) Solve the inequality 3x -5 > 16
b) Solve the inequality -6x + 1 > 10
Rule: When you divide by a negative, you switch the sign of the inequality.
Inverse of a Function
Question: Find the inverse of g(x) = 2x + 4 Same as: y = 2x + 4
Quick Steps: 1) Interchange x and y
2) Solve for y
3) Replace y with g-1 (x)
Logarithms-Includes Review of 3 Log Laws
Question: Combine 3ln (x-1) = 5lnx - ln(x2 +3_ -7ln (x+4) into a single logarithm.
Note: Laws of logaritms:
I) loga (AB) = logaA + logaB
II) loga (A) = logaA - logaB
III) loga Ac = c logaA
Long Division of Polynomials