Q. 2 TB Find the x-coordinates of the po... [FREE SOLUTION]

Chapter 4: Q. 2 TB (page 384)

Find the x-coordinates of the points where the graphs of $f (x) = x^{3} 鈭� 9 x^{2}$ and $g (x) = x 鈭� 9$ intersect.

Short Answer

Expert verified

x-coordinates of the intersection points of $f (x) = x^{3} 鈭� 9 x^{2}$ and $g (x) = x 鈭� 9$ arerole="math" localid="1654113768658" $x = 1, - 1, 9$ .

Step by step solution

Step 1. Given information

Given functions are the followings.

$f (x) = x^{3} 鈭� 9 x^{2} g (x) = x 鈭� 9$

Step 2. Intersection points.

To determine the intersection points, equate both functions and solve the equation for x.

$f (x) = g (x) : x^{3} 鈭� 9 x^{2} = x 鈭� 9 x^{3} 鈭� 9 x^{2} - x + 9 = 0 x^{2} (x - 9) - 1 (x - 9) = 0 (x - 9) (x^{2} - 1) = 0 鈬� x = 9, 卤 1$

So x-coordinates of the points where the graphs of functions $f (x)$ and $g (x)$ intersect are $x = 9, 1, - 1$

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91影视

Find the x-coordinates of the points where the graphs of $f (x) = x^{3} 鈭� 9 x^{2}$ and $g (x) = x 鈭� 9$ intersect.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Intersection points.

One App. One Place for Learning.

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91影视

Find the x-coordinates of the points where the graphs off(x)=x3鈭�9x2andg(x)=x鈭�9intersect.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Intersection points.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Statistics

Logic and Functions

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the x-coordinates of the points where the graphs of $f (x) = x^{3} 鈭� 9 x^{2}$ and $g (x) = x 鈭� 9$ intersect.