What is the slope of the line passing through the points (-5, 7) and (-3, 5)? -1/4 -1 1
2 answers:
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Answer:
Step-by-step explanation:
5. x/7 = 9/x
x^2 = 63
x= 3
6. x/84 = 16/x
x^2 = 1344
x=8
7. x/12 = 12/16
16x=144
x=9
8. x/48 = 48/64
64x=2304
x=36
By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
<h3>How to find the inverse of a function</h3>
In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:
x · (y + 7) = - 2 · y + 2
x · y + 7 · x = - 2 · y + 2
2 · y + x · y = - 7 · x + 2
y · (2 + x) = - 7 · x + 2
By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
To learn more on inverses: brainly.com/question/7181576
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