# C3 maths summary part 1

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• C3 summary
• Algebraic fractions
• Can be simplified by cancelling down
• Must be fully factorised first
• to add and subtract find the lowest possible denomanator
• if the numerator is bigger then the denominator then use the long devision method
• Functions
• Two types of function
• many to one
• one to many
• range=y
• domain= x
• when combining functions do the inside first
• to find the inverse function swap the y and x and rearange
• the previous range is now the domain and vice versa
• the graph is reflected in the line y=x
• Exponentials and log
• exponentials
• y=a^x
• always passes through (0,1)
• log
• inverse
• exponentials
• y=a^x
• always passes through (0,1)
• y=ln(x)
• passes through (1,0)
• to solve you must use the fact that they are inverse
• Numerical methods
• if an interval has a sign change then there is a root
• iteration formulas can be used to solve