“Given f(x)=2x²-4x+3 g(x)=2x+1 what is the value of f(g(2))?”

"First compute g(2)=2(2)+1=5. Then evaluate f(g(2))=f(5)=2(5²)-4(5)+3=2(25)-20+3=50-20+3=33. Function composition where f(g(x)) applies g(x) as input to f(x) is key in algebra and computer science. This process models complex relationships in mathematics programming and data analysis enabling layered computations for problem-solving and system modeling."