Given f(x) = 5x^2 - 2 and g(x) = 2x^3, (f º g)(x) is a function of degree 6.
Added by Denise J.
Step 1
This means we need to plug g(x) into f(x) wherever we see x. So: f(g(x)) = 5(2x3)2 + 2 f(g(x)) = 5(4x6) + 2 f(g(x)) = 20x6 + 2 Now we can see that the function f º g(x) is a polynomial of degree 6, since the highest power of x is 6. Show more…
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