if $h(x)$ is the inverse of $f(x)$, what is the value of $h(f(x))$?

$\bigcirc$ 0
$\bigcirc$ 1
$\bigcirc$ $x$
$\bigcirc$ $f(x)$

Question

if $h(x)$ is the inverse of $f(x)$, what is the value of $h(f(x))$?

$\bigcirc$ 0
$\bigcirc$ 1
$\bigcirc$ $x$
$\bigcirc$ $f(x)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Inverse Functions", "Composite Functions" ], "new_concepts": [], "current_concepts": [ "Inverse Functions", "Composite Functions" ] } ## Identify the relationship between the functions $$ h(x) = f^{-1}(x) $$ ## Apply the definition of inverse composition $$ h(f(x)) = f^{-1}(f(x)) = x $$

0

1

x

f(x)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Inverse Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the relationship between the functions

Apply the definition of inverse composition

Answer: