Based on the definition of composition between two functions and some algebraic handling, the following expressions are listed below:
- g ° f (c) = c² - 3
- g ° f (- a) = a² - 3
How to apply composition between two functions
In accordance with function theory, composition is a binary operator between functions, by which the independent variable of the former function is substituted by the latter function:
f ° g (x) = f[g(x)]
g ° f (x) = g[f(x)]
If we know that f(x) = x² and g(x) = x - 3, then the resulting functions are:
g ° f (c) = c² - 3
g ° f (- a) = (- a)² - 3
g ° f (- a) = a² - 3
Based on the definition of composition between two functions and some algebraic handling, the following expressions are listed below:
- g ° f (c) = c² - 3
- g ° f (- a) = a² - 3
To learn more on composition: https://brainly.com/question/20379727
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