Pre-Calculus

Composition of Functions

Composition of Functions 150 150 SchoolTutoring Academy

A function is a relation that assigns to each input value exactly one output value. A function can be defined as a rule that relates how one quantity depends on…

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Finding the Inverse of a Function

Finding the Inverse of a Function 150 150 SchoolTutoring Academy

Inverse of a function The word inverse comes from the word invert which means opposite, upside down. Let f and g be two functions such that function g is inverse…

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Introduction to Functions: Understanding Domain and Range

Introduction to Functions: Understanding Domain and Range 150 150 SchoolTutoring Academy

A function can be defined as a rule that relates how one quantity depends on other quantities. A function is a relationship between two variables. The first variable is called…

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Operations on Functions: Adding and Subtracting Functions

Operations on Functions: Adding and Subtracting Functions 150 150 SchoolTutoring Academy

A function is a relation that assigns to each input value exactly one output value. Like numbers and polynomials we can add, subtract, multiply and divide functions which results into…

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Rational and Irrational Numbers

Rational and Irrational Numbers 150 150 SchoolTutoring Academy

Rational numbers A rational number is any real number that can be written as a ratio, that is, it can be written as a fraction. A rational number can be…

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Imaginary Numbers: Understanding the Imaginary Part

Imaginary Numbers: Understanding the Imaginary Part 150 150 SchoolTutoring Academy

We are told that we cannot take square root of a negative number. However, we can take the square root of a negative number, but it involves using a new…

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Unit Circle and Trigonometric Ratios

Unit Circle and Trigonometric Ratios 150 150 SchoolTutoring Academy

The unit circle is a circle whose radius is one and center is at the origin.                     According to Pythagorean Theorem,…

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Converting between Radians and Degrees

Converting between Radians and Degrees 150 150 SchoolTutoring Academy

Radian and Degree are the most commonly used units to measure angels. Angle in degrees is denoted by symbol °  e.g. 50°. The radian is represented by ‘rad’ or by…

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Six Trigonometric Ratios

Six Trigonometric Ratios 150 150 SchoolTutoring Academy

In greek ‘Trig’ means triangle and ‘metic’ is for measurement. The Trigonometric rations are used to express relationship between angles and sides of a right triangle ( a triangle with…

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