The given function is
[tex]y=4x+3[/tex]The given domain is
[tex]7\leq x\leq10[/tex]To find the range associated with this domain, we just have to evaluate the function when x = 7 and x = 10.
[tex]\begin{gathered} y=4\cdot7+3=28+3=31 \\ y=4\cdot10+3=40+3=43 \end{gathered}[/tex]