Answer:
[tex]f(x-1)=-3x+10[/tex]
Step-by-step explanation:
Substitute [tex]x-1[/tex] instead of [tex]x[/tex] into the function expression:
if [tex]f(x)=-3x+7,[/tex] then
[tex]f(x-1)=-3(x-1)+7=-3x+3+7=-3x+10.[/tex]
You get the expression [tex]f(x-1)=-3x+10.[/tex]