If f (x) is known to be an odd function, then f (x) = 3 ^ X-1 when x ≥ 0. Let the inverse function of F (x) be y = g (x), then G (- 8)= Remarks: - 2 ② Please solve it in a simple way Thank you for your reply

If f (x) is known to be an odd function, then f (x) = 3 ^ X-1 when x ≥ 0. Let the inverse function of F (x) be y = g (x), then G (- 8)= Remarks: - 2 ② Please solve it in a simple way Thank you for your reply

Since f (x) and G (x) are inverse functions of each other, finding g (- 8) is equivalent to finding f (x) = - 8 when x is what value
Since f (x) is an odd function, the above answer can be obtained when f (x) = 8
If f (x) = 3 ^ X-1, when f (x) = 8, 3 ^ X-1 = 8, the solution is x = 2
F (x) is an odd function, so when x = - 2, f (x) = - 8
That is g (- 8) = - 2