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77julia77 [94]
3 years ago
8

Which function below is the inverse of f(x)= 7x-1/2

Mathematics
1 answer:
lianna [129]3 years ago
8 0

f(x)=7x-\dfrac{1}{2}\to y=7x-\dfrac{1}{2}\\\\\text{we change x to y and y to x}\\\\x=7y-\dfrac{1}{2}\\\\\text{solve for y}\\\\7y-\dfrac{1}{2}=x\ \ \ \ |+\dfrac{1}{2}\\\\7y=x+\dfrac{1}{2}\ \ \ \ \ |:7\\\\\boxed{y=\dfrac{1}{7}x+\dfrac{1}{14}}\\\\Answer:\ \boxed{f^{-1}(x)=\dfrac{1}{7}x+\dfrac{1}{14}}

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10 points which of the following describes the graph ? Help<br> Needed
Oduvanchick [21]

ANSWER

First choice

EXPLANATION

The graph of f(x) and

{f}^{ - 1} (x)

are symmetric about the line y=x.

This means that the graph of

{f}^{ - 1} (x)

is the reflection of f(x) in the line y=x.

This explains why the composition of a function and its inverse yields x, as the result.

The first choice is correct.

5 0
4 years ago
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steposvetlana [31]

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Answer: inverse variation



5 0
4 years ago
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ad-work [718]

Answer:

y = x + 3

y = 3x + 1

Step-by-step explanation:

This does it in two equations.

3 0
3 years ago
Describe in your own words how to factor of negative one out of an addition or subtraction expression
fomenos

Answer:

Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.

Step-by-step explanation:

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2 years ago
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anygoal [31]

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Step-by-step explanation:

Given,

5 chickens and 3 ducks are bought by $ 81

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To find the cost of each duck and cost of each chicken.

Let,

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Hence,

The cost of each duck = $ 7

The cost of each chicken = $ 7+5 = $ 12

8 0
4 years ago
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