the graph of the function is given in blue. Use transformations to create the function whose graph is shown in red.
y =
4x −
x2
y =
1
the graph of the function is given in blue. Use transformations to create the function whose graph is shown in red.
y =
1
the graph of the function is given in blue. Use transformations to create the function whose graph is shown in red.
y = 1
find
f 
g h.
f(
x) = √
x −
1
g(
x) =
x2
h(
x) =
x3 +
1
1
express the function in the form
f g. (use only elementary functions, but not the identity function,
g(
x) =
x.)
f (
t) =
1
g(
t) =
2
(a) if
g(
x) =
3x +
2 and
h(
x) =
9x2 +
12x +
6, find a function
f such that
f g =
h. (think about what operations you would have to perform on the formula for
g to end up with the formula for
h.)
f =
1
(b) if
f(
x) =
2x +
8 and
h(
x) =
2x2 +
2x +
6, find a function
g such that
f g =
h.
g(
x) =
2
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