Answer:
[tex]f(a + 1) = 4 {a}^{2} + 7a + 4[/tex]
Step-by-step explanation:
[tex]f(x) = 4 {x}^{2} - x + 1[/tex]
substitute...
change x with a+1. In other words...
[tex]f(a + 1) = 4 {(a + 1)}^{2} - (a + 1) + 1 \\ = 4( {a}^{2} + 2a + 1) - a - 1 + 1 \\ = 4 {a}^{2} + 8a + 4 - a \\ = 4 {a}^{2} + 7a + 4[/tex]
