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Mathematics
Mathematics
Problem
Consider the function
f
:
R
→
R
f:\mathbb R\to\mathbb R
f
:
R
→
R
given by
f
(
x
)
=
3
x
−
5
f(x)=3x-5
f
(
x
)
=
3
x
−
5
. a. (i) Find
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
. b. (ii) Verify that
f
−
1
∘
f
=
I
R
f^{-1}\circ f=I_{\mathbb R}
f
−
1
∘
f
=
I
R
.
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