Composition of Functions

By combining these 2 function into 1 function, we have performed function composition, which is the focus of this section. Definition of Function Composition Function composition is a method to combine existing functions. Another method is to carry out the usual algebraic operations on functions, including addition, subtraction, multiplication, & division. We do this by


Definitions Just an easy way to remember how Sine, Cosine and Tangent work: Soh…   (Sine = Opposite / Hypotenuse) …cah…  (Cosine = Adjacent / Hypotenuse) …toa (Tangent = Opposite / Adjacent) Right Triangle Firstly, the names Opposite, Adjacent and Hypotenuse come from the right triangle: “Opposite” is opposite to the angle θ “Adjacent” is adjacent (next to) to

Quadratic Equation Solver

A quadratic is a type of problem In mathematics that deals with a variable multiplied by itself (an operation known as squaring). It derives from the area of a square being its side length multiplied by itself. The word quadratic comes from “quadratum”, which means square in Latin word. There are a lot of phenomena in the real world that can be

Solving SSA Triangles

SSA (Side, Side, Angle) is when we know 2 sides and 1 angle that is not the angle between the sides. How to solve an SSA triangle ? First, use Law of Sines to calculate one of the other two angles. Then, use the three angles add to 180° to find the other angle. Finally

Logarithmic: Definition, Functions & Rules, Examples

Definition of Logarithmic Functions Logarithmic and exponential function has close relation. It is because logarithmic inverse of exponential function. Any exponential function can be changed to be logarithmic function and any logarithmic function can be changed to be exponential function. For example there is exponential function x = ay, so the logarithmic function is alog

Negative Exponents

Definitions Exponents are also called Powers or Indices The exponent of a number says how many times to use the number in a multiplication. General form of exponent an tells you to use a in a multiplication n times Those are positive exponents How About Negative Exponents? Dividing is the inverse (opposite) of Multiplying. A negative exponent

Cross Multiply

To cross multiply is to go from this: To a × d = b × c How Does it Work? Multiplying the top (numerator) and bottom (denominator) of a fraction by the same amount doesn’t change its value. So, To cross multiply: Multiply the top and bottom of the left side fraction by the bottom

Logarithm: Special Form, Exponent, Properties

Logarithm is one of basic mathematics concept. Logarithm counts repeated same number in multiplication form. Operating logarithm means determine how many repeated numbers (b) to get the result (x). Logarithm is used to many sectors in life. Some of them are calculate the magnitude of earthquake using Richer Scale, loudness of sound in decibels (dB),

Multiplying Fractions

Multiply the tops, then multiply the bottoms. How to multiply fractions There are 3 simple steps to multiply fractions Multiply the the numerators (top numbers). Multiply the denominators (bottom numbers). Simplify the fraction if needed. Example Step 1 Multiply the the numerators Step 2 Multiply the denominators Step 3 Simplify the fraction Mulltiplying Fractions and Whole Numbers

Taylor Series: Common & Expansion Formula, and Examples

Taylor series is one of topic in numerical method. It describes the sum of infinite terms of any functions. If there are more and more terms, it will give the high accuracy. It was introduced by English mathematicians, Brook Taylor. One of Taylor series application is scientific calculator operation. Sometimes when we need to determine