Value of the given function[tex](g-f)x = log(x-3)-\sqrt[3]{12x+1} +2[/tex].
What is function?
" Function is defined as the relation between the given variables is such that every input has exactly one output each."
According to the question,
Given functions are,
[tex]f(x) = \sqrt[3]{12x+1} +4\\\\g(x) = log(x-3) +6[/tex]
Substitute the value in the function (g -f)x we get,
[tex](g-f)x = g(x) -f(x)[/tex]
[tex]= log(x-3) + 6 -( \sqrt[3]{12x+1} +4)\\\\= log(x-3) + 6 -\sqrt[3]{12x+1} -4\\\\= log(x-3) -\sqrt[3]{12x+1} +2[/tex]
Hence, Option(B) is the correct answer.
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