Respuesta :
Sounds like you're supposed to find the approximate value of [tex]f(3.97)[/tex] by using the linear approximation to [tex]f(x)[/tex]. That would be
[tex]f(3.97)\approx f(4)+f'(4)(4-3.97)=7-2(0.03)=6.94[/tex]
[tex]f(3.97)\approx f(4)+f'(4)(4-3.97)=7-2(0.03)=6.94[/tex]