If f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))
1 answer:
Answer:
18x² - 24x + 9
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f3x - 2)
= 2(3x - 2)²+ 1 ← expand factor using FOIL
= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2
= 18x² - 24x + 8 + 1
= 18x² - 24x + 9
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