Question 1042050
g(x)=2x-4 and f is the function defined such f(g(x))=x, then f(x)=
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Let     f(x) &#8801; Ax+B

Then f(g(x)) &#8801; A(2x-4)+B &#8801; 2Ax-4A+B

    2Ax-4A+B &#8801; x

Therefore equating coefficients of x: 

       2A = 1
        A = 1/2

Equating constant terms:

    -4A+B = 0
-4(1/2)+B = 0
     -2+B = 0
        B = 2

Therefore f(x) &#8801; Ax+B &#8801; (1/2)x+2

Edwin</pre>