Question

f^(-1)(4)=-7, f(-7)=?

Transformations of functions
ANSWERED
asked 2021-09-12
\(\displaystyle{{f}^{{-{1}}}{\left({4}\right)}}=-{7}\)
\(\displaystyle{f{{\left(-{7}\right)}}}=?\)

Expert Answers (1)

2021-09-13
If
(a, b) is on f(x)
then
(b, a) is on \(\displaystyle{{f}^{{-{1}}}{\left({x}\right)}}\)
So if
(4, -7) is on \(\displaystyle{{f}^{{-{1}}}{\left({4}\right)}}=-{7}\)
then(-7, 4) is on f(-7)
Therefore:
f(-7)=4
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