Question

If h(x) is the inverse of f(x), what is the value of h(f(x))? 0 1 x f(x)

Answer 1

Answer:

Option C is correct

value of h(f(x)) is, x

Step-by-step explanation:

Inverse function:

The function g and h are inverse function

if g(h(x)) = x for all x in domain of h and h(g(x)) = x for all x in domain of h.

As per the statement:

If h(x) is the inverse of f(x)

then;

by definition of inverse function:

$h(f(x)) = x$

therefore, the value of h(f(x)) is, x

Answer 2

"Answer: c

Solution: Given, h(x) is the inverse of  f(x).

$h(x)=f^{ -1 }(x)$

∴ $h (f(x)) = f^{-1}$

(f(x)) ⇒h (f(x)) = x

Hence, h(f(x)) = x.

The value of h(f(x)) is x,which is derived in the above equations."