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il63 [147K]
4 years ago
8

How can you solve an equation or inequality in one variable?

Mathematics
1 answer:
zimovet [89]4 years ago
4 0

In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).

Following are some steps to solve equation/inequality in one variable:

1) Get rid constant number from on side by applying reverse operation of addition or subtraction.

2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.

3) Combine like terms on both sides.

4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.

5) Finally you get a variable on one side and solution on other side.

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Read 2 more answers
Let g(x)=3x+2 and f(x)= x-2/3
son4ous [18]

Answer:

1.) 1 1/3 or 4/3

2.) 6

3.) 8

Step-by-step explanation:

Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost.

1.) f(g(0))  = 1 1/3

Let g(x)=3x+2 and f(x)= x-2/3.

Begin with g(0) = 3(0) + 2 = 2.

Substitute x = 2 into f(x).

f(2) = (2) - 2/3 = 1 1/3

2.) g(f(2))  = 6

Let g(x)=3x+2 and f(x)= x-2/3.

Begin with f(2) = 2 - 2/3 = 1 1/3.

Substitute x = 1 1/3 into g(x).

g(1 1/3) = 3( 1 1/3) + 2 = 3(4/3) + 2 = 4 + 2 = 6

3.) g(g((0))

Let g(x)=3x+2.

Begin with g(0) = 3(0) + 2 = 2.

Substitute x = 2 into g(x).

g(2) = 3(2) + 2 = 8

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