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If f : R→R, g(x) = 3 x 2 + 7 and f(x) = √x, then gοf(x) is equal to _______
  • a)
    3x - 7
  • b)
    3x - 9
  • c)
    3x + 7
  • d)
    3x - 8
Correct answer is option 'C'. Can you explain this answer?
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If f : R→R, g(x) = 3 x 2 + 7 and f(x) = √x, then gο...
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If f : R→R, g(x) = 3 x 2 + 7 and f(x) = √x, then gο...
Given that, g(x) = 3 x 2 + 7 and f(x) = √x
∴ gοf(x) = g(f(x)) = g(√x) = 3(√x)2 + 7 = 3x + 7.
Hence, gοf(x) = 3x + 7.
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