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Diano4ka-milaya [45]
3 years ago
15

Inverse of f(x)=3x-4

Mathematics
1 answer:
aniked [119]3 years ago
8 0

Answer:

\large\boxed{f^{-1}(x)=\dfrac{x+4}{3}=\dfrac{1}{3}x+\dfrac{4}{3}}

Step-by-step explanation:

f(x)=3x-4\to y=3x-4\\\\\text{exchange x to y and vice versa}\\\\x=3y-4\\\\\text{solve for y}\\\\3y-4=x\qquad\text{add 4 to both sides}\\\\3y=x+4\qquad\text{divide both sides by 3}\\\\y=\dfrac{x+4}{3}

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Gina wants to make
gavmur [86]

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

3 0
3 years ago
What is the area<br> of the triangle?
elixir [45]
Area are all sides multiplied the formula can be found online
3 0
3 years ago
PLEASE HELP AND SHOW ALL STEPS
Alja [10]

Combining the like terms, the simplified polynomials are given as follows:

a) 4x² - 14x + 17

b) -5x² - 20x + 8

<h3>How are polynomials simplified?</h3>

Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.

Item a:

4(x - 2)(x + 1) - 5(2x - 5)

Applying the distributive property:

4(x² - x - 2) - 10x + 25

4x² - 4x - 8 - 10x + 25

Combining the like terms:

4x² - 4x - 10x - 8 + 25

4x² - 14x + 17

Item b:

-5(x + 2)² + 28

-5(x² + 4x + 4) + 28

-5x² - 20x - 20 + 28

-5x² - 20x + 8

More can be learned about the simplification of polynomials at brainly.com/question/24450834

#SPJ1

4 0
2 years ago
Is 4.5 natural number?​
vfiekz [6]

Answer:

No

Step-by-step explanation:

4.5 IS NOT A WHOLE NUMBER!

4 0
4 years ago
Read 2 more answers
I WILL GIVE BRIANLIEST WHOEVER ANSWER!!<br> 17. Find (f/g)(X) for the following functions.
Genrish500 [490]

Answer:

Option 3

Step-by-step explanation:

(f/g)(x) = f(x)/g(x)

Since g(x) is in the denominator, it can't be 0.

(Functions is undefined when the denominator = 0)

This fraction becomes undefined when:

-14x² - 1 = 0

14x² = -1

x² = -1/14

So x² should not be -1/14

3 0
3 years ago
Read 2 more answers
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