Question

Given that f (x) and g(2) are inverse functions, and f(-3) = 4, find the value of:2f(-3) +39(4)Question 7

Answer 1

If f(x) and g(x) are inverses of each other, then

`f^(-1)(x)\text{ = g(x)}`

In the equation, f(-3) = 4, then g(4) = -3.

Therefore, 2f(-3) + 3g(4) = 2(4) + 3(-3)

This gives 8 + (-9) = 8 - 9 = -1

Answer = -1