Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.

Question

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. 

f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.

savvygrl108 · Answer

$$f(x)=\frac{ x-7}{ x+3} and g(x)=\frac{ -3x-7 }{ x-1 }$$

savvygrl108 · Answer

I already have f(g(x)) but I keep struggling on g(f(x))

savvygrl108 · Answer

$$=\frac{ -3\frac{ x-7 }{ x+3 } -7}{ \frac{ x-7 }{ x+3 }-1}$$

savvygrl108 · Answer

That is the set up right?