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Chapter 2: Q. 88 (page 70)

If f(x)=x-Bx-A, f(2)=0and f(1)is undefined, what is the value of AandB?

Short Answer

Expert verified

The value of B=-2and the value of role="math" localid="1646307476177" A=-1.

Step by step solution

01

Step 1. Given Information 

If f(x)=x-Bx-A,f(2)=0andf(1)is undefined,

We have to find the value of AandB.

02

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

f(2)=2-B2-A

03

Step 3. Now the function is f(2)=2-B2-A.We know f(2)=0 so we put the value of f(2) in the function.

0=2-B2-A

Multiply with 2-Aon both side

0脳(2-A)=2-B2-A脳(2-A)0=2-B2-B=0

Add 2 on both side

2-B+2=0+2-B=2

Multiply with -1on both side

-B脳(-1)=2脳(-1)B=-2

04

Step 4. To find the value of A we firstly find f(1) by putting x=1 on the given function.

f(1)=1-B1-A

Since f(1)is not defined so

1-A=0

Add 1 on both side

1-A+1=0+1-A=1

Multiply with -1on both side

-A脳(-1)=1脳(-1)A=-1

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Most popular questions from this chapter

True or False

To obtain the graph of f(x)=x+2, shift the graph ofy=x horizontally to the right 2units.

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

Consider the equation

y=1ifxisrational0ifxisirrational

Is this a function? What is its domain? What is its range? What is its y-intercept, if any? What are its x-intercepts, if any? Is it even, odd, or neither? How would you describe its graph?

True or False The cube function is odd and is increasing on the interval (-鈭�,鈭�).
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