SOLUTION: Given f(x)=-3x+4 and g(x)=x+7, what isthe value of g(f(2))?Please give steps? Thanks so much -H

Algebra ->  Equations -> SOLUTION: Given f(x)=-3x+4 and g(x)=x+7, what isthe value of g(f(2))?Please give steps? Thanks so much -H      Log On


   

Question 847717: Given f(x)=-3x+4 and g(x)=x+7, what isthe value of g(f(2))?Please give steps? Thanks so much -H
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First we must find f(2)


f%28x%29=-3x%2B4


f%282%29=-3%282%29%2B4 Replace ALL copies of x with 2.


f%282%29+=+-6+%2B+4


f%282%29+=+-2


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Then we plug this into g%28x%29


g%28x%29=x%2B7


g%28f%282%29%29=f%282%29%2B7 Replace ALL copies of x with f(2)


g%28f%282%29%29=-2%2B7 Replace f(2) on the right side with -2 (above we found f%282%29+=+-2)


g%28f%282%29%29=5