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# Composite Functions

Find f(g(x))
g(x)=2x^2+4 and f(x)=x-2/4

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 Jul 24, 2010 Rating Composite Functions by: Karin As the title states, this is known as a composite function. We are asked to find f(g(x)) where: f(x) = x-2/4 and g(x) = 2x^2+4 So, step 1 is to substitute the value (2x^2+4) for g(x): f(g(x)) = f(2x^2+4) - Substitute 2x^2+4 for g(x) Now, we know that we need to find f(2x^2+4) for the function: f(x) = x-2/4 Step 2: Substitute (2x^2+4) for x. f(2x^2+4) = (2x^2+4)-2 ---------- 4 Step 3: Simplify 2x^2+4-2 = 2x^2 +2 -------- ------- 4 4 You can simplify further by dividing all terms by 2. x^2 + 1 This is the final answer. ------- 2 I hope this helps, Karin

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