1.
a. Write y=f(x)
y=3x3. b. Interchange x and y
x=3y3 c. Solve for y
y=(x/3)1/3 d. Write f−1(x)=y
f−1(x)=(x/3)1/3
0≤x2≤25=>−5≤x≤5
f−1(T)=[−(5/3)1/3,(5/3)1/3]
2.
a. Write y=g(x)
y=lnx b. Interchange x and y
x=lny c. Solve for y
y=ex d. Write g−1(x)=y
g−1(x)=ex,x>0,x∈R
0≤x2≤25,x>0=>0<x≤5
g−1(T)=[1,e5]
3.
a. Write y=h(x)
y=x−9. b. Interchange x and y
x=y−9 c. Solve for y
y=x+9 d. Write h−1(x)=y
h−1(x)=x+9
0≤x2≤25=>−5≤x≤5
h−1(T)=[4,14]
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