lizgirl0805 lizgirl0805
  • 24-09-2021
  • Mathematics
contestada

If f(x) = 3x^2 - 1 and g(x)= 4x + 2, then what is f(g(x))?

If fx 3x2 1 and gx 4x 2 then what is fgx class=

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themathexpertise
themathexpertise themathexpertise
  • 24-09-2021

Answer:

f(g(x)) = 48x² + 48x + 11

Step-by-step explanation:

f(g(x)) = f(4x + 2)

Solve for f(4x + 2).

f(x) = 3x² - 1

f(4x + 2) = 3(4x + 2)² - 1

f(4x + 2) = 3(4x + 2)(4x + 2) - 1

f(4x + 2) = 3(16x² + 16x + 4) - 1

f(4x + 2) = 48x² + 48x + 12 - 1

f(4x + 2) = 48x² + 48x + 11

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