if f(x)=2x-3 and fg(x)=2x+1,find g(x)
You should notice that the composition of the functions f and g is a linear function.
You need to remember how to compose two functions such that:
`(fog)(x) = f(g(x))`
Since `f(x) = 2x -...
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first we see that g(x) should be a linear polynomial as only then fg(x) will come out to be linear
let g(x)=ax + b
fg(x)=2(ax +b) -3
=x(2a) +(2b-3) which is given equal to 2x +1
on comparing we get