Studdy AI Logo
Math  /  Algebra

QuestionSelect the correct answer.
Consider functions hh and kk. \begin{tabular}{|c|c|c|c|c|} \hlinexx & 0 & 1 & 2 & 3 \\ \hlineh(x)h(x) & 1 & 4 & 10 & 28 \\ \hline \end{tabular}
What is the value of (h∘k)(1)(h \circ k)(1) ? A. 0 B. 28 C. 1 D. 4

Studdy Solution

STEP 1

1. We are given the function h(x) h(x) with specific values for x=0,1,2,3 x = 0, 1, 2, 3 .
2. We are given a mapping diagram for the function k(x) k(x) with specific mappings.
3. We need to find the value of (h∘k)(1) (h \circ k)(1) .

STEP 2

1. Determine the value of k(1) k(1) using the mapping diagram.
2. Use the result from Step 1 to find h(k(1)) h(k(1)) .
3. Select the correct answer from the given options.

STEP 3

Use the mapping diagram to find k(1) k(1) .
According to the mapping diagram, the arrow from x=1 x = 1 points to k(x)=3 k(x) = 3 .
Thus, k(1)=3 k(1) = 3 .

STEP 4

Use the value of k(1) k(1) to find h(k(1)) h(k(1)) .
Since k(1)=3 k(1) = 3 , we need to find h(3) h(3) .
From the table, h(3)=28 h(3) = 28 .
Therefore, h(k(1))=h(3)=28 h(k(1)) = h(3) = 28 .

STEP 5

Select the correct answer from the given options.
The value of (h∘k)(1) (h \circ k)(1) is 28 28 .
The correct answer is B. 28.
The value of (h∘k)(1) (h \circ k)(1) is:
28 \boxed{28}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord