The value of b is ![\boxed8.](https://tex.z-dn.net/?f=%5Cboxed8.)
Further explanation:
The relationship between the input value and the output value is known as the function.
Given:
The function is ![f\left( x \right) = 3x - b.](https://tex.z-dn.net/?f=f%5Cleft%28%20x%20%5Cright%29%20%3D%203x%20-%20b.)
The value of
is equal to -14.
Explanation:
The given function is ![f\left( x \right) = 3x - b.](https://tex.z-dn.net/?f=f%5Cleft%28%20x%20%5Cright%29%20%3D%203x%20-%20b.)
![f\left( { - 2} \right)= - 14](https://tex.z-dn.net/?f=f%5Cleft%28%20%7B%20-%202%7D%20%5Cright%29%3D%20-%2014)
The value of the function is
at ![x = - 2.](https://tex.z-dn.net/?f=x%20%3D%20%20-%202.)
Substitute
for x and
for
in equation
to obtain the value of b.
![\begin{aligned}f\left( x \right) &= 3x - b\\- 14&= 3 \times \left({ - 2} \right)- b\\- 14&= - 6 - b\\ - 14 + 14&=- 6 - b + 14\\0&= 8 - b\\ b &= 8 \\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Df%5Cleft%28%20x%20%5Cright%29%20%26%3D%203x%20-%20b%5C%5C-%2014%26%3D%203%20%5Ctimes%20%5Cleft%28%7B%20-%202%7D%20%5Cright%29-%20b%5C%5C-%2014%26%3D%20-%206%20-%20b%5C%5C%20-%2014%20%2B%2014%26%3D-%206%20-%20b%20%2B%2014%5C%5C0%26%3D%208%20-%20b%5C%5C%20b%20%26%3D%208%20%5C%5C%5Cend%7Baligned%7D)
Hence, the value of b is ![\boxed8.](https://tex.z-dn.net/?f=%5Cboxed8.)
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear inequalities
Keywords: function, x-coordinate, value, value of b, ![f\left( x \right) = 3x - b.](https://tex.z-dn.net/?f=f%5Cleft%28%20x%20%5Cright%29%20%3D%203x%20-%20b.)