Robbins Vaughn
11/13/2023 · Senior High School
If the function \( f \) where \( f(x)=2 x-5 \) is represented graphically by a straight line passing through the point \( (3, \mathrm{~d}) \), find : \( \begin{array}{ll} & \text { (घ) The value of } \mathrm{d}\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the value of \( d \) for the point \( (3, d) \) on the line represented by the function \( f(x) = 2x - 5 \), we need to evaluate the function at \( x = 3 \).
Substituting \( x = 3 \) into the function:
\[
f(3) = 2(3) - 5
\]
Calculating this step-by-step:
1. Multiply \( 2 \) by \( 3 \):
\[
2 \times 3 = 6
\]
2. Subtract \( 5 \) from \( 6 \):
\[
6 - 5 = 1
\]
Thus, \( f(3) = 1 \). This means that the point \( (3, d) \) corresponds to \( d = 1 \).
Therefore, the value of \( d \) is:
\[
\boxed{1}
\]
Quick Answer
The value of \( d \) is 1.
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