Question

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Given that f(x) = x2 - 6x + 8 and g(x) = X – 2, find (fºg)(x) and express
the result in standard form.

Answer 1

Answer:
`x^(2) -7x+10`

Step-by-step explanation:

Get the result ⇒
`f(x)-g(x)=(x^(2) -6x+8)-(x-2)`

Remove the parentheses ⇒
`x^(2) -6x+8-x+2`

Reorder and gather like terms ⇒
`x^(2) +(-6x-x)(8+2)`

Collect the coefficients for the like terms ⇒
`x^(2) +(-6-1)*x+(8+2)`

Calculate the sum or difference ⇒
`x^(2) -7x+(8+2)`

Calculate the sum or difference ⇒
`x^(2) -7x+10`

Convert to required form ⇒
`x^(2) -7x+10`

Answer ⇒
`x^(2) -7x+10`