SOLUTION: If f(x)=2x+1 and g(x)=3x-1, then f(g(x))= A)5x b) x-2 c)6x-1 d)6x+2 e) {{{6x^2+x-1}}}

Algebra ->  Functions -> SOLUTION: If f(x)=2x+1 and g(x)=3x-1, then f(g(x))= A)5x b) x-2 c)6x-1 d)6x+2 e) {{{6x^2+x-1}}}      Log On


   

Question 378743: If f(x)=2x+1 and g(x)=3x-1, then f(g(x))=
A)5x
b) x-2
c)6x-1
d)6x+2
e) 6x%5E2%2Bx-1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Simply replace 'x' in 2x+1 with 3x-1 to get f%28g%28x%29%29=2%283x-1%29%2B1 and distribute to get f%28g%28x%29%29=6x-2%2B1 and combine like terms to get f%28g%28x%29%29=6x-1


So the answer is choice C)


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim