Question

Select the correct answer.

if f(x) = x^1/2– x and g(x) = 2x^3 –x^1/2-x
find f(x) – g(x).

Answer 1

f(x) - g(x) =
`-2x^(3)+2x^(1/2)`

Explanation:

Given :

• f(x) =
  `x^(1/2) -x`
• g(x) =
  `2x^(3) -x^(1/2) -x`

f(x) - g(x) = (
`x^(1/2) -x`) - (
`2x^(3) -x^(1/2) -x`)

⇒ (
`x^(1/2) -x`
`-2x^(3)+x^(1/2) +x`)

⇒
`-2x^(3)+2x^(1/2)`

f(x) - g(x) =
`-2x^(3)+2x^(1/2)`