Question

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

Answer 1

Answer:

f − 1 ( x ) = x/3+ 3

Step-by-step explanation:

Answer 2

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

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

$f(x) + 9 = 3x;$

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

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

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

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

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