Chapter 2: Q. 86 (page 70)

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

Short Answer

Expert verified

The value of $B = - 1$

Step by step solution

Step 1. Given Information

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

We have to find the value of $B$ .

Step 2. To find the value of B we firstly find the f(2) by putting x=2 in the given function.

$f (2) = \frac{2 \times 2 - B}{3 \times 2 + 4} f (2) = \frac{4 - B}{6 + 4} f (2) = \frac{4 - B}{10}$

Step 3. Now the function is f(2)=4-B10.We know f(2)=12 so we put the value of f(2) in the function.

$\frac{1}{2} = \frac{4 - B}{10}$

Multiply with 10 on both side

$\frac{1}{2} \times 10 = \frac{4 - B}{10} \times 10 5 = 4 - B$

Subtract by 4 on both side

$5 - 4 = 4 - B - 4 1 = - B$

Multiply by $- 1$ on both side

$1 \times (- 1) = - B \times (- 1) - 1 = B B = - 1$

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If $f (x) = \frac{2 x - B}{3 x + 4}$ and $f (2) = \frac{1}{2}$ , 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 f(2) by putting x=2 in the given function.

Step 3. Now the function is f(2)=4-B10.We know f(2)=12 so we put the value of f(2) in the function.

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If f(x)=2x-B3x+4and f(2)=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 f(2) by putting x=2 in the given function.

Step 3. Now the function is f(2)=4-B10.We know f(2)=12 so we put the value of f(2) in the function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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