SOLUTION: Let f(x)=x^2-3x and g(x)=2x-4, find and simplify each expression. g*f and f(g(0))

Algebra ->  Expressions-with-variables -> SOLUTION: Let f(x)=x^2-3x and g(x)=2x-4, find and simplify each expression. g*f and f(g(0))      Log On


   



Question 199968: Let f(x)=x^2-3x and g(x)=2x-4, find and simplify each expression.
g*f
and
f(g(0))

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
g%2Af=g%28x%29%2Af%28x%29=%282x-4%29%2A%28x%5E2-3x%29=2x%5E3-10x%5E2%2B12x


So g%2Af=2x%5E3-10x%5E2%2B12x


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f%28g%280%29%29=f%282%2A0-4%29=f%28-4%29=%28-4%29%5E2-3%28-4%29=16%2B12=28

So f%28g%280%29%29=28