Posted by **johnica** on Monday, February 22, 2010 at 11:52pm.

given f(x)=2x^2-4 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)=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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