Sure, let's solve for [tex]\( x \)[/tex] given the function [tex]\( g(x) = 5x + 1 \)[/tex] and [tex]\( g(x) = 41 \)[/tex].
1. Start with the given function:
[tex]\[
g(x) = 5x + 1
\][/tex]
and we know that:
[tex]\[
g(x) = 41
\][/tex]
2. Substitute 41 for [tex]\( g(x) \)[/tex] in the equation:
[tex]\[
5x + 1 = 41
\][/tex]
3. Next, isolate the term containing [tex]\( x \)[/tex]. To do this, subtract 1 from both sides of the equation:
[tex]\[
5x + 1 - 1 = 41 - 1
\][/tex]
This simplifies to:
[tex]\[
5x = 40
\][/tex]
4. Now, to solve for [tex]\( x \)[/tex], divide both sides of the equation by 5:
[tex]\[
x = \frac{40}{5}
\][/tex]
5. Simplify the division:
[tex]\[
x = 8
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 8 \)[/tex].
