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IRISSAK [1]
4 years ago
14

I need help, plato hates me...

Mathematics
1 answer:
klemol [59]4 years ago
5 0

Answer:

The inverse function is g(x) = ± \frac{\sqrt{x+12}}{3} , x ≥ -12 ⇒ D

Step-by-step explanation:

* Lets explain how to find the inverse function

- The steps of find the inverse of function f(x)

# Write y = f(x)

# Switch x and y

# Solve to find the new y

* Lets solve the problem

∵ f(x) = 9x² - 12

- Do the steps above

- Put y = f(x)

∵ y = f(x)

∴ y = 9x² - 12

- Switch x and y

∴ x = 9y² - 12

- Add both sides by 12

∴ x + 12 = 9y²

- take √ for both side don't forget to put ± in-front of it

∴ ± \sqrt{x+12} = 3y

- Divide both sides by 3

∴ y = ± \frac{\sqrt{x+12}}{3}

∵ There is no square root for negative number

∴ x + 12 ≥ 0 ⇒ subtract 12 from both sides

∴ x ≥ -12

- The function is defined for all values of x greater than or equal -12

∴ The inverse function is g(x) = ± \frac{\sqrt{x+12}}{3} , x ≥ -12

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2. The side of a square exceeds the side of
Anastaziya [24]

Answer:

x=30cm

y=30+5=>35cm

Step-by-step explanation:

From the question we are told that

Sides difference \triangle x= 5cm

Area difference  \triangle a=326sq.cm

Let first square be A

Let second square be B

Generally the area of a square is mathematically given by

Area of a squareA=x*x=x^2

Area of a squareB=(x+5)^2=x^2+25+10x

Area \A - Area\ B =325

Therefore from the equations above

x^2+25x+10-x^2=325

10x=325-25

x=300/10

x=30cm

Therefore

Side of the first square

x=30cm

Side of the second square.

y=>30+5=35cm

Check answer

35^2-30^2=325

4 0
3 years ago
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Vikentia [17]

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8 0
3 years ago
If x = −4 is a zero of the polynomial function f(x) = 2x3 + 13x2 + 23x + 12, which of the following is another zero of f(x)?  x
Talja [164]

Answer:

x= -1 is the another zero of the given function.  

Step-by-step explanation:

We have been given a function:

f(x)=2x^3+13x^2+23x+12

The zero of the function is that point where the function vanishes or the value of the function becomes zero.

From the given four values we will put the values in the function and wherever we get zero is the zero of the function.

put x= -1 we get:

f(-1)=2(-1)^3+13(-1)^2+23(-1)+12

f(-1)=-2+13-23+12=0

Hence, x= -1 is the another zero of the given function.  

5 0
3 years ago
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It is an exponential equation with a domain of C. All real numbers.
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meriva
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