g(x)=-5-7/2x and f(x)=-2/7x-10/7
*Use composition to determine whether each pair of functions are inverses*
g(x)=-5- (7/2)x and f(x)= (-2/7)x-10/7
If f(g) = g(f) = x.....they are inverses....so
f(g) = (-2/7) [-5 - 7/2)x] - 10/7 = 10/7 + x - 10/7 = x
And
g(f) = -5 - (7/2) [ (-2/7)x - 10/7] = -5 + x + 5 = x
They are inverse functions.........!!!