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What are the roots of the following function? f(x) (4x-1)(x+9)
please answer due today.


User Jones
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1 Answer

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Answer:


x=-9, \quad x=(1)/(4)

Explanation:

Given function:


f(x)=(4x-1)(x+9)

The roots of a function are the x-values for which the function equals zero. Therefore, to find the roots, set the function to zero and solve for x.

Set the function to zero:


\implies f(x)=0


\implies (4x-1)(x+9)=0

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Apply the zero product property:


(4x-1)=0 \implies x=(1)/(4)


(x+9)=0 \implies x=-9

Therefore, the roots of the given function are:


x=-9, \quad x=(1)/(4)

User Apgsn
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