Posted by johnica on Monday, February 22, 2010 at 11:52pm.
given f(x)=2x^24 and g(x)=5x+3
1. f(a)
2. f(3a)
3. f(a+b)
4. f(x+7)
5. f(5x+3)
6. g(f(x))

algebra  MathMate, Tuesday, February 23, 2010 at 8:37am
The function notation of f(x)=2x²4 means that the letter "x" on each side of the equal sign takes on the same value. So
f(3) = 2(3)²4 = 184 = 14
f(a) = 2(a)²4 = 2a²4
f(b+c) = 2(b+c)²4 = 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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