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yuradex [85]
3 years ago
6

Simplify (4x + 12) - (6x - 18)

Mathematics
2 answers:
bixtya [17]3 years ago
5 0

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    4*x-12-(6*x-18)=0

Step-by-step explanation:

Pull out like factors :

  -2x + 6  =   -2 • (x - 3)

Rama09 [41]3 years ago
4 0

Hello there!

Start by removing the parenthesis combining like terms.

(4x + 12) - (6x - 18)

4x + 12 - 6x - 18

4x - 6x + 12 - 18

Next, simplify.

-2x + 12 - 18

-2x - 6

This is the final answer and it cannot be simplified any further, I hope this was helpful!

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Step-by-step explanation:

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<u>Upper cylinder:</u>

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Answer:

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Step-by-step explanation:

When given the following functions,

g=[(-2,-7),(4,6),(6,-8),(7,4)]

h(x)=3x+4

One is asked to find the following,

1. Question 1

g^-^1(4)

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

g^-^1(4)

g(4)=6\\g(6)=-8\\g^-^1(4)=-8

2. Question 2

h^-^1(x)

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)

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3. Question 3

(h^-^1 \ o\ h)(-3)

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function (h^-^1) and simplify. Then substitute (-3) into the result.

h^-^1\ o\ h

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Now substitute (-3) in place of (x),

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3 years ago
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