Question

Find the inverse of f(ℎ) =ℎ^2 − 2ℎ + 4 ℎ ≥ 1

Answer 1

Answer:

i agree with the other persons answer

Step-by-step explanation:

Answer 2

Answer:

$f^{-1}$(h) =  $\sqrt{h - 1}$ + 1.

Step-by-step explanation:

Given, f(h) = $h^{2}$ - 2h + 4.

                   h ≥ 1 .

f(h) = $(h-1)^{2}$ + 3.

Now, to calculate the inverse of the function we have to interchange h and f(h). {Where interchanged f(h) will represent inverse of the function}

So,

 h = $(f(h)-1)^{2}$ + 3

 h - 3  = $(f(h)-1)^{2}$

 f(h) -1 = $\sqrt{h - 1}$

  f(h) =   $\sqrt{h - 1}$ + 1.

f(h) ⇒  Representing inverse of f(h) as stated above.

Thus, $f^{-1}$(h) =  $\sqrt{h - 1}$ + 1.