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3 years ago

SHOW STEPS PLEASE -2= -√x-3) +5

1 answer:

4 0

Calculate what is the root then you get -2=-root x+2 then switch sides then you get -root x+2=-2 then you change the signs so now you have root x+2=2 then square both sides x+2=4 now you have x=4-2 then you obviously get 2 so x=2

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1. determine if the functions are inverse functions

kirill115 [55]

Answer:

Question 1

The function $f(x) = x + 6$ is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so $f^{-1}(x)=x-6$

Therefore, g(x) is the inverse of f(x).

Question 2

The function $f(x) = -3x -9$ is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

$\implies y = -3x -9$

Rearrange the equation to make x the subject:

$\implies y+9= -3x$

$\implies x=-\dfrac13(y+9)$

$\implies x=-\dfrac13y-3$

Replace x with $f^{-1}(x)$ and y with x:

$\implies f^{-1}(x)=-\dfrac13x-3$

Therefore, g(x) is the inverse of f(x).

5 0

2 years ago

Which BEST explains the expression x( y z + 1 2 )? A) x depends on ( y z + 1 2 ). B) ( y z + 1 2 ) depends on x. C) x and ( y z

Alekssandra [29.7K]

9514 1404 393

Answer:

D) x and ( y z + 1 2 ) are independent of each other

Step-by-step explanation:

Assuming this is not intended to be describing a function named x with an argument of yz+12, the variables in any expression are assumed to be independent of each other, unless additional information is provided showing their dependencies.

Here, there is no such additional information, so we must assume ...

x and (yz +12) are independent of each other

_____

Additional comment

The assumption stated in the answer is intended to ensure we're not concerned with something of the form ...

g(x)

which is an expression saying 'g' is dependent on 'x'. If we know 'g' is a function name, then g(yz+12) will make 'g' be dependent on (yz+12).

Similarly, if x(a) is intended to mean that x is a function of 'a', then the corresponding x(yz+12) will mean that x is dependent on (yz+12). This would be quite unusual, since letters toward the end of the alphabet are usually used for variable names, while letters in the middle of the alphabet are used for function names.

8 0

2 years ago

Need help I forgot how to do this

Marat540 [252]

Answer:

Step-by-step explanation:

you have to find the discriminant

b²-4ac for each equation

if discriminant < 0 no real solutions because will be negative under the squareroot whhan you try to find the roots

if discriminant = 0 there is only one solution

if discriminant > 0 two real solutions

for your given problems

A. discriminant =(-2)²-4*2*15 will be negative

8 0

3 years ago

What is the volume of the right prism?

V125BC [204]

That's a rectangular prism.

And the formula to find the volume of a rectangular prism is:

$\sf~A=lwh$

Plug in what we know:

$\sf~A=(9)(2)(6)$

Multiply the three numbers together:

$\sf~A=\boxed{\sf108}$

3 0

3 years ago

Solve y=x+8 for x can some one help me with this problem

IRINA_888 [86]

You have to plug in a random y value and use algebra to solve for x. It is impossible to do without at least one point for y.

7 0

3 years ago