Question

Please help me with number 4, I don’t know how to do this with f(x)= 1/x

Answer 1

The answers are given below.

Explanation:

4.

1. f(x) =
`\frac {-3}{x + 12}`

2. x =
`\frac {-3}{y + 12}` [taking y = f(x)]

⇒ y + 12 =
`\frac {-3}{x}`

⇒f(x) =
`\frac {-3}{x} - 12`

3. f{x) - 96 =
`\frac {-24}{x} - 96`

⇒ f(x) =
`\frac {-24}{x}`

4. x =
`\frac {-24}{y}` [taking y = f(x)]

⇒ f(x) =
`\frac {-24}{x}`

5. 24f(x) =
`\frac {24}{x}`

⇒ f(x) =
`\frac {1}{x}`