a) Suppose the point $(-1,1)$ is on the graph of a function $f(x)$.
i) What point would be on the graph $g(x)$ given by first shifting $f(x)$ left by 5 unit, then compressing it horizontally by a factor of 5?

ii) What point would be on the graph $h(x)$ given by first compressing $f(x)$ horizontally by a factor of 5, then shifting it left by 5 unit?

b) Did changing the order of the transformations change the point? ? Yes No
c) There are two formulas indicating shifting $f(x)$ left by 5 and compressing horizontally by a factor of 5. Try to fill out the following blanks to make the two equations.
$g(x) = f($ $x +$ $)$

$h(x) = f($$(x +$)$)$

Hint: