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83) Given the functions:

[tex]\[
\begin{array}{l}
h(x) = 4x + 5 \\
g(x) = 4x
\end{array}
\][/tex]

Find [tex]\((h - g)(0)\)[/tex].

Sagot :

GinnyAnsweridn
Certainly! Let's solve the problem step-by-step.

Given the functions:
[tex]\( h(x) = 4x + 5 \)[/tex]
[tex]\( g(x) = 4x \)[/tex]

We need to find [tex]\( (h - g)(0) \)[/tex], which is the difference between the functions [tex]\( h \)[/tex] and [tex]\( g \)[/tex] evaluated at [tex]\( x = 0 \)[/tex].

1. Evaluate [tex]\( h(x) \)[/tex] at [tex]\( x = 0 \)[/tex]:
[tex]\[ h(0) = 4(0) + 5 = 0 + 5 = 5 \][/tex]

2. Evaluate [tex]\( g(x) \)[/tex] at [tex]\( x = 0 \)[/tex]:
[tex]\[ g(0) = 4(0) = 0 \][/tex]

3. Find [tex]\( (h - g)(0) \)[/tex]:
[tex]\[ (h - g)(0) = h(0) - g(0) = 5 - 0 = 5 \][/tex]

So, the answer is [tex]\( 5 \)[/tex].
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