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Ivanshal [37]
3 years ago
12

F(x)=3x-9 for inverse function?

Mathematics
2 answers:
Ahat [919]3 years ago
6 0

Answer:

f − 1 ( x ) = x/3+ 3

Step-by-step explanation:

Oksi-84 [34.3K]3 years ago
5 0

\mathbf{Task.} ~ \mathrm{Which~function~is~the~inverse~for~the~function~} f(x) = 3x - 9?

\mathrm{Let~us~express}~x~ \mathrm{from~the~formula~} f(x) = 3x - 9 \colon

f(x) + 9 = 3x;

\dfrac{f(x) + 9}{3} = x;

\dfrac{f(x)}{3} + 3 = x.

\mathrm{Let} ~x = g(x)~ \mathrm{and} ~f(x) = x.

\mathrm{So,} ~g(x) = \dfrac{x}{3}+ 3~ \mathrm{is~inverse~function~for~} f(x) = 3x - 9.

Answer \colon ~ g(x) = \dfrac{x}{3}+ 3. ~ \blacktriangle

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