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 \(f(x)= x+10\)
Now we find inverse of f(x)
\(y= x+10\)
Replace x with y and y with x
\(x=y+10\)
Subtract 10 on both sides
\(x-10=y\)
Replace y with h(x)
\(h(x)= x-10\)
now we need to find h(f(x))
\(h(f(x))= h(x+10)= x+10-10=x\)
If h(x) is the inverse of f(x), then the value of h(f(x)) is x
