Chapter 2: Q. 85 (page 70)

If $f (x) = \frac{3 x + 8}{2 x - A}$ and $f (0) = 2$ , what is the value of $A$ ?

Short Answer

Expert verified

The value of $A = - 4$

Step by step solution

Step 1. Given Information

If $f (x) = \frac{3 x + 8}{2 x - A}$ and $f (0) = 2$

We have to find the value of $A$ .

Step 2. To find the value of A we firstly find the f(0) by putting x=0 in the given function.

$f (0) = \frac{3 \times 0 + 8}{2 \times 0 - A} f (0) = \frac{8}{- A} f (0) = - \frac{8}{A}$

Step 3. Now the function is f(0)=-8A.We know f(0)=2 so we put the value of f(0) in the function.

$2 = - \frac{8}{A}$

Multiply with $A$ on both side

$2 \times A = - \frac{8}{A} \times A 2 \times A = - 8$

Divide by 2 on both side

$\frac{2}{2} \times A = - \frac{8}{2} A = - 4$

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If $f (x) = \frac{3 x + 8}{2 x - A}$ and $f (0) = 2$ , what is the value of $A$ ?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find the value of A we firstly find the f(0) by putting x=0 in the given function.

Step 3. Now the function is f(0)=-8A.We know f(0)=2 so we put the value of f(0) in the function.

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If f(x)=3x+82x-Aand f(0)=2, what is the value of A?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find the value of A we firstly find the f(0) by putting x=0 in the given function.

Step 3. Now the function is f(0)=-8A.We know f(0)=2 so we put the value of f(0) in the function.

One App. One Place for Learning.

Most popular questions from this chapter

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If $f (x) = \frac{3 x + 8}{2 x - A}$ and $f (0) = 2$ , what is the value of $A$ ?