Question

Confirm that f(x)=2/x and g(x)=2/x are inverses by showing that f(g(x)) = x and g(f(x)) = x.

Answer 1

can u find f(g(x)) and g(f(x)) ?

Answer 2

g(x)=2/
f(g(x))=f(2/x)
so in f(x) put 2/ instead of x ,got it ?

Answer 3

if
f(g(x))=g(f(x))
then f(x) and g(x) are inverse to each other

Answer 4

how would it put it together would it be 2(2/x)/x?..i have the general idea i just don't understand how you plug it into each other

Answer 5

will what u did is correct lets simplify it

Answer 6

\( \Huge \frac{2}{(\frac{2}{x})}= 2\div(\frac{2}{x}) =2\times(\frac{x}{2}) =x\)

Answer 7

so got it nw ?

Answer 8

In summary: if you use f as the input to g, and the result is x, f and g are inverse functions.

You could say the same thing in reverse order: If you use g as the input to f, and if the result is x, f and g are inverse functions.

Answer 9

would this be how i would confirm it