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In $8-13$ , the domain of $f(x)=4-2 x$ and of $g(x)=x^{2}$ is the set of real numbers and the domain of $h(x)=\frac{1}{x}$ is the set of non-zero real numbers.a. Write each function value in terms of $x$ .b. Find the domain of each function. $(g+f)(x)$

a) $(f+g)(x)=4-2 x+x^{2}$b) $\mathbb{R}$

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 6

The Algebra of Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Missouri State University

Oregon State University

University of Michigan - Ann Arbor

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All right. So for this exercise, we are given that f of X equals four minus two x and G of X equals X squared. And the first thing we have to do is right. Each function in terms of X and the right, the expression g of f of X in terms of X. So this is really just going to our involve adding the two functions together, which is pretty straightforward. G ve expos f of X is just gonna be X squared minus two X plus four. And we need next. We need to determine the domain of each function. So, um, there is no restriction on the value that ex contain HQ for this function. So the domain is really just going to be all riel numbers, okay?

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