Determining composite and inverse functions Composite and inverse functions can be determined for trigonometric, logarithmic, exponential or algebraic functions.

Revise the laws of logarithms in order to solve logarithmic and exponential equations as part of Bitesize Higher Maths ...

For example, suppose we want to solve the equation log_2 (x) + log_2 (x-4) = 3 for x. Using the multiplication rule of logarithms, we can rewrite the equation as: log_2 (x* (x-4)) = 3 Now, we convert ...

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

Graphs of Logarithmic Functions The logarithmic function is the inverse function to the exponential function. The logarithmic function is defined as f (x) = log a (x) where a, x ∈ R + and a ≠ 1. The ...

Now, add another term to form the linear function y = 2x + 15. The next rule states that when the x is to the power of one, the slope is the coefficient on that x. This continues to make sense, since ...