SOLUTION: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x)=8/x and g(x)=8/x
show work
Algebra.Com
Question 644387: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x)=8/x and g(x)=8/x
show work
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
f(x)=8/x
f(g(x))=8/(g(x))
f(g(x))=8/(8/x)
f(g(x))=(8/1)/(8/x)
f(g(x))=(8/1)*(x/8)
f(g(x))=(8x)/(1*8)
f(g(x))=(8x)/(8)
f(g(x))=x
The same works in reverse
g(x)=8/x
g(f(x))=8/(f(x))
g(f(x))=8/(8/x)
g(f(x))=(8/1)/(8/x)
g(f(x))=(8/1)*(x/8)
g(f(x))=(8x)/(1*8)
g(f(x))=(8x)/(8)
g(f(x))=x
So these both in conjunction show that f and g are inverses of each other.
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