Answer :
The value of b is [tex]\dfrac{38}{5}[/tex].
Linear equation
In this, the power of x is 1. And it consists of the variable and/or constant term only.
Given
f(x)=5x−5
The average of that is 14 for the [0, b]
To find
The value of b.
How to get the value of b?
For the x = 0, the value of f(x) will be
f(0) = -5
For the x = b, the value of f(x) will be
f(b) = 5b - 5
The average of that is 14.
[tex]\begin{aligned} \rm Average &= \dfrac{f(0)+f(b)}{2} \\14 &= \dfrac{(-5)+(5b-5)}{2} \\28 &= 5b -5 -5\\28 +5 + 5 &= 5b\\5b &= 38\\b &= \frac{38}{5} \\\end{aligned}[/tex]
Thus, the value of b is [tex]\dfrac{38}{5}[/tex].
More about the linear equation link is given below.
https://brainly.com/question/11897796