If f (x) = 2x +1 and g(x) = x^2 + 2x + 1, find f (g(x)).
1 answer:
Answer:
2x² + 4x + 3
Step-by-step explanation:
Given:
f (x) = 2x +1
g(x) = x² + 2x + 1
to find f(g(x)), simply take the x-terms in f(x) = 2x+1 and replace them with g(x) = x² + 2x + 1
Hence,
f(g(x))
= f(x² + 2x + 1)
= 2(x² + 2x + 1) + 1
= 2x² + 4x + 2 +1
= 2x² + 4x + 3
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