Find the Domain y=7/8x-2

Problem

y=7/(8*x−2)

Solution

1. Identify the type of function. This is a rational function, which is defined for all real numbers except where the denominator is equal to zero.

2. Set the denominator equal to zero to find the excluded values of x

8*x−2=0

3. Solve for x by adding 2 to both sides.

8*x=2

4. Divide both sides by 8 to isolate x

x=2/8

5. Simplify the fraction.

x=1/4

6. State the domain. Since the function is undefined at x=1/4 the domain consists of all real numbers except 1/4

Final Answer

Domain: *{x|x≠1/4}

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