Chapter 2: Q. 84 (page 70)

If $f (x) = 3 x^{2} - B x + 4$ and $f (- 1) = 12$ , what is the value of $B$ ?

Short Answer

Expert verified

The value of $B = 5$

Step by step solution

Step 1. Given Information

If $f (x) = 3 x^{2} - B x + 4$ and $f (- 1) = 12$

We have to find the value of $B$ .

Step 2. To find the value of B we firstly find the x=-1 by putting in the given function.

$f (- 1) = 3 {(- 1)}^{2} - B (- 1) + 4 f (- 1) = 3 \cdot 1 + B + 4 f (- 1) = 3 + B + 4 f (- 1) = 7 + B$

Step 3. Now the function is f(-1)=7+B.We know f(-1)=12 so we put the value of f(-1) in the function.

$12 = 7 + B$

Subtract 7 on both side

$12 - 7 = 7 + B - 7 5 = B B = 5$

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If $f (x) = 3 x^{2} - B x + 4$ and $f (- 1) = 12$ , what is the value of $B$ ?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find the value of B we firstly find the x=-1 by putting in the given function.

Step 3. Now the function is f(-1)=7+B.We know f(-1)=12 so we put the value of f(-1) in the function.

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If f(x)=3x2-Bx+4and f(-1)=12, what is the value of B?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find the value of B we firstly find the x=-1 by putting in the given function.

Step 3. Now the function is f(-1)=7+B.We know f(-1)=12 so we put the value of f(-1) in the function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Decision Maths

Geometry

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

If $f (x) = 3 x^{2} - B x + 4$ and $f (- 1) = 12$ , what is the value of $B$ ?