Question 776304
Q:
If g(x)=3x-5, determine the function f for which g(f(x))={{{15x^2-6x+4}}}.
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A: 
g(x)=3x-5 therefore,
g(f(x)) = 3f(x)-5 = {{{15x^2-6x+4}}}
f(x) = {{{((15x^2-6x+4)+5)/3}}} = {{{5x^2-2x+3}}}
Answer: {{{highlight(f(x) = 5x^2-2x+3)}}}