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pickupchik [31]
4 years ago
12

Now you will use what you have learned to create a general test for determining whether two functions are inverses. If f(x) and

g(x) are inverses, what will be the values of f(g(x)) and g(f(x))?
Mathematics
1 answer:
Ksju [112]4 years ago
6 0

The values of the 2 compound functions  will be x.

For example if f(x) = x + 1  and g(x) =  x - 1  then

f(g(x)) =  (x - 1) + 1 = x

and g(f(x)) =  x + 1 - 1 = x

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Kites are quadrilaterals so other than a rhombus, it would be a square. A kite can also be shaped as a square.

hope it helps!

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3 years ago
Find all solutions <br> 36x²+12x=0
FromTheMoon [43]

Answer:

x = -1/3 or 0

Step-by-step explanation:

Given equation:

  • 36x^{2}  + 12x = 0

We can factor 12x on the L.H.S since 12x is divisible by 36x² and 12x.

\implies 36x^{2}  + 12x = 0

\implies 12x(3x + 1) = 0

This can lead to two solutions. I have listed them below!

<h2>Solution 1:</h2>

Divide 12x on both sides to open the parentheses.

\implies 12x(3x + 1) = 0

\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}

<em>Note: zero divided by any non-zero number is 0.</em>

\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}

\implies 3x + 1 = 0

Isolate 3x on one side of the equation.

\implies 3x + 1 = 0

\implies 3x = 0 - 1

\implies 3x = -1

Divide 3 both sides to determine the value of x.

\implies 3x = -1

\implies \dfrac{3x}{3} = \dfrac{-1}{3}

\implies \boxed{x = \dfrac{-1}{3}}

<h2>Solution 2:</h2>

Divide (3x + 1) on both sides to isolate 12x.

\implies 12x(3x + 1) = 0

\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}

<em>Note: zero divided by any non-zero number is 0.</em>

\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}

\implies 12x = 0

Divide 12 both sides to determine the value of x.

\implies 12x = 0

\implies \dfrac{12x}{12}  = \dfrac{0}{12}

\implies \boxed{x = 0}

Therefore, the solutions for x are -1/3 or 0.

Learn more about this topic: brainly.com/question/295675

5 0
2 years ago
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Answer.

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How you solve this??
nika2105 [10]

Step-by-step explanation:

so your answer will come

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