Answer:
[tex] g(g(x)) = x [/tex]
Step-by-step explanation:
[tex] g(x) = -\dfrac{3}{4x} [/tex]
[tex] g(g(x)) = -\dfrac{3}{4g(x)} [/tex]
[tex] g(g(x)) = -\dfrac{3}{4(-\frac{3}{4x})} [/tex]
[tex] g(g(x)) = -\dfrac{3}{4} \div (-\frac{3}{4x}) [/tex]
[tex] g(g(x)) = -\dfrac{3}{4} \times (-\frac{4x}{3}) [/tex]
[tex] g(g(x)) = \dfrac{3 \times 4x}{4 \times 3} [/tex]
[tex] g(g(x)) = x [/tex]