If f={(2,4),(3,6),(4,8)} and g={(4,3),(6,4),(8,2)}, then find fo g. (1) {(2,3),(3,4),(4,2)} (2)

step 1 students and this question we are given a function f of x and g of x and we need to find the val

If f={(2,4),(3,6),(4,8)} and g={(4,3),(6,4),(8,2)}, then...

If $\mathrm{f}=\{(2,4),(3,6),(4,8)\}$ and $\mathrm{g}=\{(4,3),(6,4),(8,2)\}$, then find fo g.
(1) $\{(2,3),(3,4),(4,2)\}$
(2) $\{(4,6),(6,8),(8,4)\}$
(3) $\{(3,2),(4,3),(2,4)\}$
(4) $\{(6,4),(8,6),(4,8)\}$

Key Concepts

Function Composition

Function composition is the process of creating a new function by applying one function to the results of another. In notation, (f o g)(x) means f is applied to the output of g(x), making it crucial to first evaluate g at the input and then apply f to that result. This concept is foundational in mathematics and is used to simplify the process of evaluating compound operations.

Ordered Pair Representation of Functions

Functions can be represented as a set of ordered pairs, where each pair consists of an input and its corresponding output. By using this representation, the composition of functions involves matching the output from the inner function with the input of the outer function, ensuring that the combined mapping accurately reflects the operation of applying one function to the results of another.

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