Answer:
f(x+3) = x² + 5x + 10
Step-by-step explanation:
We are given the following function:
f(x) = x²-x+1;
We have to find f(x+3).
To do so, every value of x on the function f is replaced by x+3. So
f(x) = x²-x+1;
Replacing each x by x+3
f(x+3) = (x+3)²-(x+3)+1 = x²+6x+9-x-3+1 = x² + 5x + 10
f(x+3) = x² + 5x + 10
