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For the given functions f and g, find the indicated valur4×=×2+6×,g(×=×+4(g • f)(2)

For the given functions f and g, find the indicated valur4×=×2+6×,g(×=×+4(g • f)(2)-example-1

1 Answer

7 votes

Given:


f(x)=\frac{12}{x+1\text{ }}\text{ and g\lparen x\rparen=}\lbrack x+7\rbrack

Required:


(g.f)(3)

Step-by-step explanation:

First of all we are going to place the value of function f(x) in g(x)

(gof)(3)=g(f(x))

=gof(3)=


\begin{gathered} \lbrack(12)/(3+1)-7\rbrack\text{ } \\ Now\text{ we are going to take lcm } \\ \lbrack(12)/(4)-7\rbrack \\ \lbrack3-7\rbrack \\ \lbrack-4\rbrack \\ 4 \end{gathered}

Required answer:

option ii(4)

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