Identify Common Factors: To simplify the function f(x)=(3x-6)/(2x+5), we first look for common factors in the numerator and the denominator that can be canceled out.Factorize Numerator: We notice that the numerator 3x - 6 can be factored out as 3(x - 2) because 6 is divisible by 3.Check Denominator: The denominator 2x + 5 does not have any common factors with the numerator 3(x - 2), so we cannot simplify the function by canceling out any terms.Final Simplified Form: Therefore, the simplified form of the function f(x) is f(x) = 3(x - 2) / (2x + 5), which is already in its simplest form.

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$f(x)=\frac{3 x-6}{2 x+5}$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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f(x)=\frac{3 x-6}{2 x+5}

Identify Common Factors: To simplify the function $f(x)=\frac{3x-6}{2x+5}$ , we first look for common factors in the numerator and the denominator that can be canceled out.
Factorize Numerator: We notice that the numerator $3x - 6$ can be factored out as $3(x - 2)$ because $6$ is divisible by $3$ .
Check Denominator: The denominator $2x + 5$ does not have any common factors with the numerator $3(x - 2)$ , so we cannot simplify the function by canceling out any terms.
Final Simplified Form: Therefore, the simplified form of the function $f(x)$ is $f(x) = \frac{3(x - 2)}{2x + 5}$ , which is already in its simplest form.