Question

If f(x) = x² - x, then f(h+ 1) =
answer this solution please​

Answer 1

Given:

We have  f(x) = x² - x.

To Find:

We need to find f(h+1)?

Step-by-step explanation:

• First of all we find f(x+1) we can get it by replacing x by x+1 in f(x)

                $f(x+1)=(x+1)^2-(x+1)$

• Now solve the above equation we get

               [tex]f(x+1)=x^2+1+2x-x-1\\ f(x+1)=x^2+x[/tex]

• Thus for finding f(h+1) we replace x by h in f(x+1). we get

              $f(h+1)=h^2+h$

Hence f(h+1) is $h^2+h$