Let f:[0,7) →[1, ∞) and g:[6, ∞) →[3, ∞) be two functions. If 3 x-y=17 and y-2=0 are the tangents...

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Let f:[0,7) →[1, ∞) and g:[6, ∞) →[3, ∞) be two functions. If 3 x-y=17 and y-2=0 are the tangents to the graph of the functions f(x) and g(x) at x=5 and at x=7 and h(x)=g^2(x+f(x)) then h^'(5) is equal to
(A) 0
(B) 24
(C) 32
(D) 2  g (9) g^'(9)

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