SOLUTION: Evaluate g(f(1)), where f(x) = 4x - 5 and g(x) = 2x + 3.

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Question 89185: Evaluate g(f(1)), where f(x) = 4x - 5 and g(x) = 2x + 3.


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First evaluate f(1)

f%28x%29=4x-5 Start with the given polynomial


f%281%29=4%281%29-5 Plug in x=1


f%281%29=4-5 Multiply 4 by 1 to get 4


f%281%29=-1 Now combine like terms


So g(f(1))=g(-1)

So lets evaluate g(-1)


g%28x%29=2x%2B3 Start with the given polynomial


g%28-1%29=2%28-1%29%2B3 Plug in x=-1


g%28-1%29=-2%2B3 Multiply 2 by -1 to get -2


g%28-1%29=1 Now combine like terms

Since g%28-1%29=1, this means g(f(1))=1