Question

If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).
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Answer 1

• 
  `\boxed{ f\cdot{g}(x) = x {}^(3) - x {}^(2)}`

Step by step explanation:

Given that,

`f(x) = {x}^(2)`

`g(x) = x - 1`

Solution:

Solving for (f•g)(x):

`= f(x) \cdot g(x)`

Now substitute the given values.

`= x {}^(2) \cdot(x - 1)`

`= x {}^(2) (x - 1)`

Apply distributive property:

`= (x ^(2) \cdot x) - x {}^(2) \cdot 1`

• 
  `\boxed{ f\cdot{g}(x) = x {}^(3) - x {}^(2)}`

Hence,f•g(x) will be
`x {}^(3) - x {}^(2)`.