Let rx 2x73x4 find and simplify r1xSolutionr X 2X 7 3x

Let r(x) = 2x-7/3x+4 find and simplify r-1(x)

r( X ) = (2X - 7) / (3x +4 ) I think this is what you mean. Place your parenthesis properly.

You have to solve X in therm of r(X).

It is easy if you let: r(x) =y

Y = (2x - 7 ) / ( 3X + 4 )

Solve X in terms of Y :

3XY + 4Y = 2X - 7

3X Y - 2X = -4Y - 7

X ( 3Y - 2 ) = - 4Y -7

X = (-4y -7) /( 3Y - 2 )

Substitute f-1(X) , and X for Y

f-1( X ) = ( 4X + 7 ) / ( 2 - 3X)