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Daniel [21]
3 years ago
5

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

Mathematics
2 answers:
insens350 [35]3 years ago
6 0

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.

Verizon [17]3 years ago
5 0

Answer:

<em>The value of b is</em><em> 8</em><em>.</em>

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.


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