F(x)=x
Domain: 1 2 3 4 5 6
Range: 1 2 3 4 5 6
F(x)=2x
Domain: 1 2 3 4
Range: 0 2 4 6
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Given:
The equation is,

Explanation:
Simplify the equation by using logarthimic property.

Simplify further.

Solve the quadratic equation for x.

From the above equation (x - 6) = 0 or (x - 3) = 0.
For (x - 6) = 0,

For (x - 3) = 0,

The values of x from solving the equations are x = 3 and x = 6.
Substitute the values of x in the equation to check answers are valid or not.
For x = 3,

Equation satisfy for x = 3. So x = 3 is valid value of x.
For x = 6,

Equation satifies for x = 6.
Thus values of x for equation are x = 3 and x = 6.
Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.
<u>Solution:</u>
Given that
A construction worker bought several bottles of juice for $3 at the comedian store
She paid for them the $20 bills
Number of bottles of juice is represented by variable J
Need to write an expression for the change she receives.
From given information
Price of 1 juice bottle = $3


<em>Change she receives = Amount she paid - price of J juice bottles
</em>
=> Change she receives = 20 – 3J
Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.