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F(x)=7x-2 g(x)=x2+1 h(x)=3x (x at the corner of 3 ) a- find gh(2) b- find f-1(x)

1 Answer

4 votes

Answer: 37,
(x+2)/(7)

Explanation:

Given


f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x

now,


g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1

for x=2


g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37

Inverse of
f(x) is given by


y=7x-2\\x=(y+2)/(7)\\\\f^(-1)(x)=(x+2)/(7)

User Surajz
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