Answer:
[tex]f(-4t)=16t^{2}+1[/tex]
Step-by-step explanation:
[tex]f(t) = t^{2} +1\\[/tex]
In f(t) the variable is t, if you need to find f(something) it means you have to replace t for something. In this case you have to replace t for -4t.
[tex]f(-4t) = (-4t)^{2}+1\\=16t^{2}+1[/tex]