Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.