Answer:
(h-k)(3) = 9
Step-by-step explanation:
h(x) = x² + 1
k(x) = x - 2
To find (h-k)(3) we must first find (h - k)(x)
To find (h - k)(x) subtract k(x) from h(x)
That's
(h - k)(x) = x² + 1 - ( x - 2)
(h - k)(x) = x² + 1 - x + 2
(h - k)(x) = x² - x + 1 + 2
We have
(h - k)(x) = x² - x + 3
To find (h-k)(3) substitute the value of x that's 3 into (h - k)(x) that's replace every x in (h - k)(x) by 3
We have
(h-k)(3) = (3)² - 3 + 3
= 9 - 3 + 3
= 9 - 0
We have the final answer as
(h-k)(3) = 9
Hope this helps you
