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emmasim [6.3K]
2 years ago
10

If f(x) and its inverse function, fx), are both plotted on the same coordinate plane, what is their point of intersection?

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
7 0

Answer: (3, 3)

Step-by-step explanation:

the graphs of f and f^{-1 are flipped: if the point (x, y) is on the graph of f, then the point (y, x) is on the graph of f^{-1.

Any points of intersection will satisfy (x, y) = (y, x). A point that satisfies this property must have the same x and y coordinate. (Think about it.) The only point on f like that is (3, 3), so that is the point of intersection.

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Find the surface area of the figure.
Mariana [72]

Answer:

174m²

Step-by-step explanation:

SA = 2(wl + hl + hw)

= 2(5m x 11m + 2m x 11m + 2m x 5m)

= 2(55m² + 22m² + 10m²)

= 2 x 87m²

=174m²//

4 0
1 year ago
What are 3 input and output values for the equation y=-x^2+4?
pogonyaev
Here, The function:  y = -x² + 4
Input values would be x coordinates & output values would be y.

When, x = 1, y = (-1)² + 4 = 1 + 4 = 5
x = 2, y = (-2)² + 4 = 4 + 4 = 8
x = 3, y = (-3)² + 4 = 9 + 4 = 13

In short, Your Three input values are: 1, 2, 3
Three Output values are: 5, 8, 13

Hope this helps!
4 0
2 years ago
1. Find the slope of the line graphed below.
Olegator [25]

Answer:

m=\frac{1}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-2, 0)

Point (0, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                     m=\frac{1-0}{0+2}
  2. Subtract/Add:                m=\frac{1}{2}
6 0
2 years ago
There are 200 pieces of gum. The first student gets one-half and each student gets half of what's left each time. How many piece
grin007 [14]

Answer: the 7th person will get 3.125 pieces of gum.

Step-by-step explanation:

The first student gets one-half and each student gets half of what's left each time. This means that number of pieces of gum that each student gets is reducing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 200

r = 0.5

n = 7

The 7th term, T7 is

T7 = 200 × 0.5^(7 - 1)

T7 = 200 × 0.5^6

T7 = 3.125

7 0
3 years ago
100 25 26<br>200 120<br>15<br>300) 15. 10<br>5<br>400 10<br>graph​
zlopas [31]

Answer:  The graph shows everything you asked for

3 0
2 years ago
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