Question

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

Answer 1

`\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;`

`(f(x) + 9)/(3) = x;`

`(f(x))/(3) + 3 = x.`

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

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

`Answer \colon ~ g(x) = (x)/(3)+ 3. ~ \blacktriangle`

Answer 2

f − 1 ( x ) = x/3+ 3

Explanation: