diketahui fungsi f(x)=3x+4dan g(x) =4x-5/2x+1 x tidak sama dengan -1/2 jnvers (f°g) (x) adalah

(f•g) (x) = f (g (x))
[tex] = f( \frac{4x - 5}{2x + 1} ) \\ = 3( \frac{4x - 5}{2x + 1}) + 4 \\ = \frac{12x - 15}{2x + 1} + \frac{4(2x + 1)}{2x + 1} \\ = \frac{12x - 15 + 8x + 4}{2x + 1} \\ = \frac{20x - 11}{2x - 1} \\ \\ {fog}^{ - 1} (x) = \frac{20x - 11}{2x - 1} \\ y = \frac{20x - 11}{2x - 1} \\ 2xy - y = 20x - 1 \\ 2xy - 20x = - 1 + y \\ x(2y - 20) = - 1 + y \\ x = \frac{ - 1 + y}{2y - 20} \\ {fog}^{ - 1} (x) = \frac{ - 1 + x}{2x - 20} [/tex]
semoga membantu :)