Answer:
The value of b is 8.
Step-by-step explanation:
The given function is,
[tex]f(x) = 3x -b[/tex]
The given data is,
[tex]f(-2)=-14[/tex]
i.e when the value of x is -2, then the value of the function is -14.
Putting all the values,
[tex]\Rightarrow -14 = 3(-2) -b[/tex]
[tex]\Rightarrow -14 = -6 -b[/tex]
[tex]\Rightarrow b=-6+14[/tex]
[tex]\Rightarrow b=8[/tex]
Therefore, the value of b is 8.
The value of b is [tex]\boxed8.[/tex]
Further explanation:
The relationship between the input value and the output value is known as the function.
Given:
The function is [tex]f\left( x \right) = 3x - b.[/tex]
The value of [tex]f\left( { - 2}\right)[/tex] is equal to -14.
Explanation:
The given function is [tex]f\left( x \right) = 3x - b.[/tex]
[tex]f\left( { - 2} \right)= - 14[/tex]
The value of the function is [tex]-14[/tex] at [tex]x = - 2.[/tex]
Substitute [tex]-2[/tex] for x and [tex]-14[/tex] for [tex]f\left( x \right)[/tex] in equation [tex]f\left( x \right) = 3x - b[/tex] to obtain the value of b.
[tex]\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}[/tex]
Hence, the value of b is [tex]\boxed8.[/tex]
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 https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear inequalities
Keywords: function, x-coordinate, value, value of b, [tex]f\left( x \right) = 3x - b.[/tex]
