1. The functions $f$ and $g$ are such that

$f(x)=x+25g(x)={x}^{2}–12x$

The function $h$ is such that $h(x)=fg(x)$

The domain of $h$ is $\{x:x⩽6\}$

Express the inverse function ${h}^{–1}$ in the form ${h}^{–1}(x)=...$

${h}^{–1}(x)=.....................$