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For each pair of functions, find the quotient $\left(\frac{f}{g}\right)(x)$ and give any $x$ -values that are not in the domain of the quotient function. See Example 5.$$f(x)=4 x^{2}-23 x-35, \quad g(x)=x-7$$

Algebra

Chapter 7

Graphs, Linear Equations, and Functions

Section 5

Operations on Functions and Composition

Graphs and Statistics

Functions

Linear Functions

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

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In mathematics, a function…

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In mathematics, rewriting …

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For each pair of functions…

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For the pair of functions …

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way. Want to find the Kocian function? F over Geo X and the functions in the new Greater for X squared minus 23 X minus 35 the G function X minus seven is in the denominator, so we can do long division here. X minus seven into four X squared minus 23 x minus 35. Take the four x four and divide by X. You get four acts but that about the axis, and then distribute before acts. You get four X squared minus 28 x, and we subtract vertically for X squared minus four x. Where does zero x squared negative. 23 minutes. Negative 20 a is negative. 43 plus 28 or five x Dropped down the 30 negative 35 It will repeat five x Divided by access. Fine. Distribute the fine and you get five x minus 35 and then we'll subtract vertically and we get five x minus. Panics Cancels out in negative 35 minus negative. 35 Negative 35 plus three five or zero So it goes in perfectly. Are quotient is for X plus five, but from the original set up X cannot be positive. Seven because of experts. Seven, we'd be divided by seven minus seven or zero and we cannot divide by zero.

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