Posted by johnica on Monday, February 22, 2010 at 11:52pm.
The function notation of f(x)=2x²-4 means that the letter "x" on each side of the equal sign takes on the same value. So
f(3) = 2(3)²-4 = 18-4 = 14
f(a) = 2(a)²-4 = 2a²-4
f(b+c) = 2(b+c)²-4 = 2b + 2c -4
etc.
since g(x)=5x+3,
f(g(x)) = f(5x+3) = 2(5x+3)² - 4
Expand the expression on the right hand side to get the final answer.
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