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Answer :
To find the x-intercept of the function [tex]\( f(x) = 3x - 7.5 \)[/tex], we need to determine the value of [tex]\( x \)[/tex] when [tex]\( f(x) \)[/tex] equals zero. Here's how you can do it step-by-step:
1. Set the function equal to zero:
We want to find [tex]\( x \)[/tex] such that [tex]\( f(x) = 0 \)[/tex]. So, we write:
[tex]\[
0 = 3x - 7.5
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
To solve for [tex]\( x \)[/tex], first add 7.5 to both sides of the equation:
[tex]\[
7.5 = 3x
\][/tex]
Next, divide both sides of the equation by 3 to isolate [tex]\( x \)[/tex]:
[tex]\[
x = \frac{7.5}{3}
\][/tex]
3. Calculate the result:
Performing the division, we find:
[tex]\[
x = 2.5
\][/tex]
So, the x-intercept of the function [tex]\( f(x) = 3x - 7.5 \)[/tex] is [tex]\( x = 2.5 \)[/tex]. This means that the graph of the function crosses the x-axis at the point (2.5, 0).
1. Set the function equal to zero:
We want to find [tex]\( x \)[/tex] such that [tex]\( f(x) = 0 \)[/tex]. So, we write:
[tex]\[
0 = 3x - 7.5
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
To solve for [tex]\( x \)[/tex], first add 7.5 to both sides of the equation:
[tex]\[
7.5 = 3x
\][/tex]
Next, divide both sides of the equation by 3 to isolate [tex]\( x \)[/tex]:
[tex]\[
x = \frac{7.5}{3}
\][/tex]
3. Calculate the result:
Performing the division, we find:
[tex]\[
x = 2.5
\][/tex]
So, the x-intercept of the function [tex]\( f(x) = 3x - 7.5 \)[/tex] is [tex]\( x = 2.5 \)[/tex]. This means that the graph of the function crosses the x-axis at the point (2.5, 0).
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