Question

Will give 100 points!!

Answer 1

• f(x)=x²-4x+3
• f(x+h)=(x+h)²-4(x+h)+3=x²+2xh+h²-4x-4h+3

Put values

`\\ \rm\Rrightarrow (x^2+2xh+h^2-4x-4h+3-x^2+4x-3)/(h)`

`\\ \rm\Rrightarrow (2xh+h^2-4h)/(h)`

`\\ \rm\Rrightarrow (h(2x+h-4))/(h)`

`\\ \rm\Rrightarrow 2x+h-4`

Answer 2

`\large{\boxed{\sf 2x+h-4}}`

Step-by-step explanation:

f(x) = x² - 4x + 3

f(x + h) = (x + h)² - 4(x + h) + 3

Solving Steps:

`\rightarrow \sf ((x + h)^2 - 4(x + h) + 3 - (x^2 - 4x + 3))/(h)`

`\rightarrow \sf (x^2 + 2xh + h^2 - 4x -4h+3-x^2+4x-3)/(h)`

`\sf \rightarrow (2xh+h^2-4h)/(h)`

`\rightarrow \sf 2x+h-4`