find the inverse for the function:

\f(x) = 2x - 26\

\f^{-1}(x) = \frac{x}{?} + \

Question

find the inverse for the function:

\f(x) = 2x - 26\

\f^{-1}(x) = \frac{x}{?} +  \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Inverse Functions" ], "current_concepts": [ "Inverse Functions", "Finding Inverse Algebraically", "Linear Inverse Functions" ] } ## Set up the equation $$ y = 2x - 26 $$ ## Swap variables and solve for y $$ \begin{aligned} x &= 2y - 26 \ x + 26 &= 2y \ y &= \frac{x + 26}{2} \end{aligned} $$ ## Separate the terms $$ f^{-1}(x) = \frac{x}{2} + 13 $$ Find the inverse for the function: $f(x) = 2x - 26$ $f^{-1}(x) = \frac{x}{}$2 + 13 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Inverse Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the equation

Swap variables and solve for y

Separate the terms

Answer: