Question

If (-2) = -14 for f(x) = 3x -b; find b? -

Answer 1

The value of b is $\boxed8.$

Further explanation:

The relationship between the input value and the output value is known as the function.

Given:

The function is $f\left( x \right) = 3x - b.$

The value of $f\left( { - 2}\right)$ is equal to -14.

Explanation:

The given function is $f\left( x \right) = 3x - b.$

$f\left( { - 2} \right)= - 14$

The value of the function is $-14$ at $x = - 2.$

Substitute $-2$ for x and $-14$ for  $f\left( x \right)$ in equation $f\left( x \right) = 3x - b$ to obtain the value of b.

$\begin{aligned}f\left( x \right) &= 3x - b\\- 14&= 3 \times \left({ - 2} \right)- b\\- 14&= - 6 - b\\ - 14 + 14&=- 6 - b + 14\\0&= 8 - b\\ b &= 8 \\\end{aligned}$

Hence, the value of b is $\boxed8.$

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, $f\left( x \right) = 3x - b.$

Answer 2

Answer:

The value of b is 8.

Step-by-step explanation:

The given function is,

$f(x) = 3x -b$

The given data is,

$f(-2)=-14$

i.e when the value of x is -2, then the value of the function is -14.

Putting all the values,

$\Rightarrow -14 = 3(-2) -b$

$\Rightarrow -14 = -6 -b$

$\Rightarrow b=-6+14$

$\Rightarrow b=8$

Therefore, the value of b is 8.