SOLUTION: please help me solve this : givin f(x)=7/x and g(x)=3x^5 , find (g of f)(x)

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Question 102432: please help me solve this : givin f(x)=7/x and g(x)=3x^5 , find (g of f)(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28g_of_f%29%28x%29=g%28f%28x%29%29

g%28f%28x%29%29=g%287%2Fx%29 Replace f%28x%29 with 7%2Fx

g%287%2Fx%29=3%287%2Fx%29%5E5 This means you replace each x of g with 7%2Fx


g%287%2Fx%29=3%2A7%5E5%2Fx%5E5 Distribute the exponent


g%287%2Fx%29=3%2A16807%2Fx%5E5 Raise 7 to the fifth power to get 16,807


g%287%2Fx%29=50421%2Fx%5E5 Multiply



So %28g_of_f%29%28x%29=50421%2Fx%5E5