Answer:
If h(x) is the inverse of f(x), then the value of h(f(x)) is x
Step-by-step explanation:
If h(x) is the inverse of f(x) then we need to find h(f(x))
For example, lets take [tex]f(x)= x+10[/tex]
Now we find inverse of f(x)
[tex]y= x+10[/tex]
Replace x with y and y with x
[tex]x=y+10[/tex]
Subtract 10 on both sides
[tex]x-10=y[/tex]
Replace y with h(x)
[tex]h(x)= x-10[/tex]
now we need to find h(f(x))
[tex]h(f(x))= h(x+10)= x+10-10=x[/tex]
If h(x) is the inverse of f(x), then the value of h(f(x)) is x
