f(3) is 0 for the given function
What is a function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{3}+18x^{2} +104x+192 \ for x\leq -3[/tex]
f(x) = [tex]\frac{3x-9}{x^{3} -2x^{2} -5x+6} \ for -3\leq x\leq -3[/tex]
f(x) = [tex]\sqrt{x^{2} -9} \ for \ x > 3[/tex]
We need f(3)
f(x) = [tex]\frac{3x-9}{x^{3} -2x^{2} -5x+6} \ for -3\leq x\leq -3[/tex]
f(3) = [tex]\frac{3(3)-9}{3^{3} -2(3)^{2} -5(3)+6}[/tex]
f(3) = 0
Hence, f(3) is 0 for the given function.
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