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xxaurorabluexx
12.08.2020 •
Mathematics
Use composition of functions to determine whether f(x) and g(x) are inverses of each other. Show all work for full credit.
f(x) = ![\frac{2}{x-6}](/tpl/images/1715/8453/a0759.png)
g(x) = ![\frac{6x-2}{x}](/tpl/images/1715/8453/7c964.png)
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Ответ:
The solutions to the quadratic equations are:
Step-by-step explanation:
Given the function
substitute y = 0 in the equation to determine the zeros
Switch sides
Add 4 to both sides
Simplify
Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides
Apply perfect square formula: (a-b)² = a²-2ab+b²
solve
Add 3 to both sides
Simplify
now solving
Add 3 to both sides
Simplify
Thus, the solutions to the quadratic equations are: