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In $3-10$ , evaluate each composition for the given values if $f(x)=3 x$ and $g(x)=x-2$$$\mathrm{f}(\mathrm{g}(4))$$

6

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 7

Composition of Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

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? Evaluating Composition o…

Okay, So in this exercise, we are given f of X equals three x and G of X equals X minus two, and we want to evaluate the expression g of f of four. So that means the first thing we're gonna do is evaluate the function f a tte the value for and then we're going to take that output and make it the input g of X. So let's start with plugging four and F of X. So that's three times for equals 12. Okay, so that means that we're gonna wanna plug 12 into G of X. So 12 n g of X equals 12 minus two, which equals 10 so g of F of four equals 10.

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