SOLUTION: simplify this polynomial function:f(x)=3x^2+2x-1 and g(x)=5x+7 g(f(3))

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Question 318023: simplify this polynomial function:f(x)=3x^2+2x-1 and g(x)=5x+7
g(f(3))
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=3x%5E2%2B2x-1 Start with the first function.


f%283%29=3%283%29%5E2%2B2%283%29-1 Plug in x=3.


f%283%29=3%289%29%2B2%283%29-1 Square 3 to get 9.


f%283%29=27%2B2%283%29-1 Multiply 3 and 9 to get 27.


f%283%29=27%2B6-1 Multiply 2 and 3 to get 6.


f%283%29=32 Combine like terms.


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g%28x%29=5x%2B7 Now move onto the second function.


g%28f%283%29%29=5%2Af%283%29%2B7 Plug in x=f%283%29


g%28f%283%29%29=5%2A32%2B7 Plug in f%283%29=32 on the right side.


g%28f%283%29%29=160%2B7 Multiply 32 and 5 to get 160


g%28f%283%29%29=167 Add 160 to 7 to get 167.


So the solution is g%28f%283%29%29=167