The x-intercepts of a function is determined by replacing y or f(x) to zero since this is the point of x where it crosses the x-axis (y=0). In this case, for f(x)= sin (x + π/4) , we substitute 0 <span>= sin (x + π/4). sin^-1 of zero is also zero and pi. hence
</span><span>x + π/4 = 0 </span>x = -<span>π/4
</span>x + π/4 = <span>π x = 3</span><span>π/4</span>