Could someone provide me with an example of a function in algebra f(x) and g(x)? The substitution confuses me. Danke schon.
Of course! I'd be happy to provide you with an example of functions in algebra.
Let's consider two functions, f(x) and g(x), as examples.
Let's say f(x) = 2x + 3 and g(x) = x^2 - 4.
To better understand these functions, let's break down the concept of substitution.
Substitution involves replacing the variable in the function with a specific value or expression. It allows us to solve equations and evaluate functions for different inputs.
For example, if we substitute x with 5 in the function f(x), it would look like this:
f(5) = 2(5) + 3.
By simplifying the equation, we get:
f(5) = 10 + 3,
f(5) = 13.
So when x = 5, the function f(x) evaluates to 13.
Similarly, if we substitute x with -2 in the function g(x), it would be:
g(-2) = (-2)^2 - 4.
Simplifying further, we have:
g(-2) = 4 - 4,
g(-2) = 0.
So when x = -2, the function g(x) evaluates to 0.
Substitution allows us to find specific values for different inputs in a function, which helps us analyze and understand the behavior of functions in algebra.