If h (x) = (f o g) (x) and h (x) = / root (4) (x+7), find g (x) = / root (4) (x+1)

Question

Annabella Gray

Mathematics

21 December, 06:09

If h (x) = (f o g) (x) and h (x) = / root (4) (x+7), find g (x) = / root (4) (x+1)

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Answers (1)

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Byron · Answer 1

If you're looking for f (x)

then

g (x) = sqrt (4x + 4)

h (x) = sqrt (4x + 28)

h (x) - g (x) = 24

meaning that sqrt (24) must be the constant of f (x)

f (x) = x (sqrt (24))

h (x) = f (g (x)) = (sqrt (24)) (sqrt (4x+4)) = sqrt (4x+4+24) = sqrt (4x+28)