SOLUTION: Evaluate: Find f[g(x)] if: f(x)= 5x, and g(x)= -5x+6

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Question 107946: Evaluate:
Find f[g(x)] if:
f(x)= 5x, and g(x)= -5x+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

f%28g%28x%29%29 Start with the given function composition

f%28-5x%2B6%29 Replace g%28x%29 with -5x%2B6

5%28-5x%2B6%29 So this means you simply plug in -5x%2B6 into every x of f%28x%29=5x. In other words, replace each x with -5x%2B6

-25x%2B30 Simplify


So f%28g%28x%29%29=-25x%2B30