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MMLU / Let f(x)=3x+4 and g(x)=2x−3. If h(x)=f(g(x)), then what is the inverse of…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Let f(x)=3x+4f(x)=3x+4 and g(x)=2x−3g(x)=2x-3. If h(x)=f(g(x))h(x)=f(g(x)), then what is the inverse of h(x)h(x)?
Plain-text mathematical notation (without MathML)
Let f(x)=3x+4 and g(x)=2x−3. If h(x)=f(g(x)), then what is the inverse of h(x)?
Original LaTeX notation
Let $f(x)=3x+4$ and $g(x)=2x-3$. If $h(x)=f(g(x))$, then what is the inverse of $h(x)$?

choices

  1. \frac{x-5}{3}
  2. \frac{x+5}{3}
  3. \frac{x+5}{6}
  4. \frac{x-5}{6}

subject

high_school_mathematics

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