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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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My answer-
Simplifying 5x + -14 = 8x + 4
Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x
Solving -14 + 5x = 4 + 8x Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to
each side of the equation. -14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14
Combine like terms: 4 + 14 = 18 -3x = 18 <span>
Divide each side by '-3'. x = -6
Simplifying x = -6
If you need anything else on brainly let me know :)</span>
Simplifying 5x + -14 = 8x + 4
Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x
Solving -14 + 5x = 4 + 8x Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to
each side of the equation. -14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14
Combine like terms: 4 + 14 = 18 -3x = 18 <span>
Divide each side by '-3'. x = -6
Simplifying x = -6
If you need anything else on brainly let me know :)</span>