Davey Gonzalez
03/03/2024 · Junior 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 : \[ \begin{array}{l}\text { (i) The value of } \mathrm{d}\end{array} \]
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the value of \( d \) such that the point \( (3, d) \) lies on the line represented by the function \( f(x) = 2x - 5 \), we need to evaluate the function at \( x = 3 \).
We substitute \( x = 3 \) into the function:
\[
f(3) = 2(3) - 5
\]
Calculating this gives:
\[
f(3) = 6 - 5 = 1
\]
Thus, the value of \( d \) is:
\[
d = 1
\]
Therefore, the answer is:
\[
\boxed{1}
\]
Quick Answer
Substitute \( x = 3 \) into \( f(x) = 2x - 5 \) to find \( d \). The value of \( d \) is 1.
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