F(X)= -1/X And G(X)= 221a X, Find (Fog)(X) And (Gof)(X)

F(x)= -1/x and g(x)= √ x
Find (fog)(x) and (gof)(x)

 

Answer:

f(g(x)) = (-√x)/x

and

g(f(x)) = √(-1/x)

Step-by-step explanation:

f(x)= -1/x

g(x)= √x

Find (fog)(x):

f(g(x)) = -1/(√x)

Rationalize the radical expression an expression with no radical denominator:

f(g(x)) = (-1√x)/(√x)(√x)

f(g(x)) = (-√x)/x

Find (gof)(x):

g(f(x)) = √(-1/x)