18. [-/4.8 Points]
DETAILS
LARPCALCLIM5 1.9.047.
Consider the following function.
f(x) = 25 - x2, 0 < x<5
(a) Find the inverse function of f.
f 1(x) =
,0 3 x<
(b) Graph both f and flon the same set of coordinate axes.
y
y
6
4
4
- x
6
-6
-4
-2
2
4
-6
-4
-2
2
4
6
y
y
6
6
4
-6
-4
2
6
-6
-4
-2
4
6
(c) Describe the relationship between the graphs of f and f1
O The graph of f1is the reflection of fin the y-axis.
0 The graph of f-1
is the reflection of f in the line y = -X.
O The graph of f is the same as the graph of f.
O The graph of F1 is the reflection of f in the X-axis.
(d) State the domain and range of f. (Enter your answers using interval notation.)
dormain
range
State the domain and range of f-1 (Enter your answers using interval notation.)
domain
range
