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H(x) = x2 + 1 k(x) = x-2 (h - k)(3) = DONE

2 Answers

2 votes

Answer:

answer is 9

Explanation:

User Jemi Salo
by
7.8k points
4 votes

We are given two functions:

h(x) = x^2 + 1

and k(x) = x - 2

We are asked to find the value of:

(h - k) (3) (the value of the difference of the two functions at the point x = 3

So we performe the difference of the two functions:

(h - k) (x) = x^2 + 1 - (x - 2) = x^2 + 1 - x + 2 = x^2 - x + 3

So, this expression evaluated at 3 gives:

(h-k)(3) = 3^2 - 3 + 3 = 9

One could also evaluate what was asked by evaluating each function independently and subtracting the results of such evaluation:

h(3) = 3^2 + 1 = 10

k(3) = 3 - 2 = 1

Then, the difference is : h(3) - k(3) = 10 - 1 = 9

So use whatever method feels more comfortable for you.

User Rahbee Alvee
by
8.3k points

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