Use symmetry to graph the inverse of the function.

Mathematics

1 answer:

Olin [163]2 years ago

5 0

<h2>Answer:</h2>

a. is the correct option

<h2>Step-by-step explanation:</h2>

The graph of a function $f$ and its inverse function $f^{-1}$ are related to each other. The relationship between these two graphs can be explained by taking a point $(a,b)$ that is on the graph of $f$ , then point $(b,a)$ must lie on the graph $f^{-1}$ and vice versa meaning that the graph of $f^{-1}$ is a reflection of $f$ in the line $y=x$ . The only graph that meet this requirement is the option a. For instance, the point $(0,5)$ is on the graph of $f$ while the point $(5,0)$ is on the graph of $f^{-1}$ as indicated below.

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Find the median number of magazines purchased in a store by 6 customers. 1, 7, 4, 2, 3, 4.

Orlov [11]

The median is the middle number when the numbers are put in ascending order (lowest to highest)

1, 2, 3, 4, 4, 7

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2 years ago

Neveah has created the function of f(x) = 2x+4/3 to represent the growth of her hair, where x represents the number of months si

Andre45 [30]

F(x)=2x+4/3

Replace f(x) by y:
y=2x+4/3

Solving for x:
y-4/3=2x+4/3-4/3

Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x

Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6

Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6 Inverse function

Then, for x=6
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3

Her hair will have grown 6 after 7/3 = 2.33 months

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%7Cx-%5Cfrac%7B1%7D%7B2%7D%7C%3D3%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="|x-\frac{1}{2}

Bogdan [553]

Answer:

x= 4 1/6, -3 1/6

Step-by-step explanation:

Hope this helps

8 0

2 years ago

Read 2 more answers

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