Find the Domain c=5/(9(f-32))

Problem

c=5/(9*(ƒ−32))

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

2. Set the denominator equal to zero to find the excluded values for the variable ƒ

9*(ƒ−32)=0

3. Divide both sides by 9 to isolate the term containing the variable.

ƒ−32=0

4. Solve for ƒ by adding 32 to both sides of the equation.

ƒ=32

5. Determine the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except ƒ=32

Final Answer

Domain: *{ƒ|ƒ∈ℝ,ƒ≠32}

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