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Given the functions [tex]j(x)[/tex] and [tex]k(x)[/tex] below, find [tex]j(k(2))[/tex].

[tex]\[
\begin{array}{l}
j(x) = -4x - 10 \\
k(x) = 6x - 5
\end{array}
\][/tex]

Select the correct answer below:
A. [tex]j(k(2)) = -113[/tex]
B. [tex]j(k(2)) = -2[/tex]
C. [tex]j(k(2)) = -38[/tex]
D. [tex]j(k(2)) = -8[/tex]
E. [tex]j(k(2)) = 10[/tex]

Sagot :

GinnyAnsweridn
To find [tex]\( j(k(2)) \)[/tex], let's go through the process step-by-step.

First, we need to find the value of [tex]\( k(2) \)[/tex].

Given the function [tex]\( k(x) = 6x - 5 \)[/tex]:
[tex]\[ k(2) = 6 \cdot 2 - 5 \][/tex]
[tex]\[ k(2) = 12 - 5 \][/tex]
[tex]\[ k(2) = 7 \][/tex]

Now that we have [tex]\( k(2) = 7 \)[/tex], we need to find [tex]\( j(7) \)[/tex].

Given the function [tex]\( j(x) = -4x - 10 \)[/tex]:
[tex]\[ j(7) = -4 \cdot 7 - 10 \][/tex]
[tex]\[ j(7) = -28 - 10 \][/tex]
[tex]\[ j(7) = -38 \][/tex]

Therefore, the value of [tex]\( j(k(2)) \)[/tex] is [tex]\(-38\)[/tex].

The correct answer is:
[tex]\[ j(k(2)) = -38 \][/tex]
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