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Julli [10]
3 years ago
8

If f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function ​

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

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Answer:m is rational and n is irrational

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3 years ago
The Golden Gate Bridge, which connects San Francisco to Marin County, is one of the most famous suspension bridges in the U.S. T
Wittaler [7]

Answer:

90

Step-by-step explanation:

3 0
3 years ago
Consider the graph of the linear function h(x) = –6 + h(x) equals negative 6 plus StartFraction 2 Over 3 EndFraction x. x. Which
kifflom [539]

The quadrant that the graph will not go through is the second quadrant.

The reason is that the slope is positive and there was a translation 6 units down

<h3>How to know the quadrant the graph will not pass</h3>

The quadrants are named in anticlockwise direction starting from the first which has x - positive and y - positive

The graph of y = 2x/3 is a graph with positive slope, moving through the third and first quadrant.

y = 2x/3 - 6 means a translation 6 units down and this pushed the line to get to the fourth quadrant

Hence the remaining quadrant that is untouched is the second quadrant

The graph is attached

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brainly.com/question/25184007

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8 0
2 years ago
The set of natural numbers x that satisfy x + 8 = 5
Maksim231197 [3]

Answer:

The set of natural numbers can be denoted as: {} (null set) because no natural number will satisfy the given equation.

Step-by-step explanation:

Given equation:

x+8=5

To find the set of natural numbers that satisfies the above equation.

Solution:

In order to find the set of solutions for the equation, we will solve it for x

We have:

x+8=5

Subtracting both sides by 8.

x+8-8=5-8

∴ x=-3

Thus, we get only one solution for x that satisfies the given equation but it is not a natural number. -3 is an integer.

Set of natural numbers {1,2,3,4,5,6........}

Thus, we can say the set of natural numbers that satisfies the equation is a null set {}.

8 0
3 years ago
Some smart people here know the answer, plz? Thank you!
Maurinko [17]

Answer:

1>233B+23 =28.32

Step-by-step explanation:

Hope This Helps

6 0
3 years ago
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