Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

If [tex][tex]$h(x)=x^2-3$[/tex][/tex] and [tex][tex]$k(x)=5+x$[/tex][/tex], what is [tex][tex]$k(h(0))$[/tex][/tex]?

A. 2
B. 5
C. [tex]-3[/tex]
D. 0

Sagot :

GinnyAnswer
Sure, let's solve this step-by-step.

We are given two functions:
[tex]\[ h(x) = x^2 - 3 \][/tex]
[tex]\[ k(x) = 5 + x \][/tex]

We are asked to find [tex]\( k(h(0)) \)[/tex].

1. Calculate [tex]\( h(0) \)[/tex]:
[tex]\[ h(0) = 0^2 - 3 = -3 \][/tex]

2. Calculate [tex]\( k(h(0)) \)[/tex]:
First, substitute the result from [tex]\( h(0) \)[/tex] into [tex]\( k(x) \)[/tex]:
[tex]\[ k(h(0)) = k(-3) \][/tex]

Now, compute [tex]\( k(-3) \)[/tex]:
[tex]\[ k(-3) = 5 + (-3) = 2 \][/tex]

So, the value of [tex]\( k(h(0)) \)[/tex] is [tex]\(\boxed{2}\)[/tex].

Out of the given choices:
[tex]\[ 2, 5, -3, 0 \][/tex]

The correct answer is:
[tex]\[ 2 \][/tex]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.