Three-function-are-given-f-x-x-g-x-x-5-and-h-x-x-2-5-Express-h-x-interms-of-f-x-and-g-x-

Question Number 39671 by KMA last updated on 09/Jul/18

T h r e e f u n c t i o n a r e g i v e n f (x) = \sqrt{x}

g (x) = x + 5 a n d h (x) = x^{2} + 5 . E x p r e s s

h (x) i n t e r m s o f f (x) a n d g (x) .

Answered by MrW3 last updated on 10/Jul/18

h (x) = x^{2} + 5 = x^{2} - x + x + 5 = x (x - 1) + (x + 5)

\Rightarrow h (x) = f^{2} (x) [f^{2} (x) - 1] + g (x)

o r

h (x) = f^{4} (x) + 5

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