All categories

2 years ago

Which function is the inverse of Rx) = 8x + 4?

Mathematics

2 answers:

Westkost [7]2 years ago

7 0

Answer:

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 8x + 4 ( subtract 4 from both sides )

y - 4 = 8x ( divide both sides by 8 )

$\frac{y-4}{8}$ = x

Change y back into terms of x with x = $f^{-1}$ (x)

$f^{-1}$ (x) = $\frac{x-4}{8}$ → D

babunello [35]2 years ago

5 0

Answer:

$B.~f^{-1}(x)=\frac{x-4}{8}$

Step-by-step explanation:

To find the inverse of a function, swap the places of the x and y variables and solve for y again.

$x=8y+4\\x-4=8y\\\frac{x-4}{8}=y$

You might be interested in

Determine if the equation below is a function with independent variable x. If so, find the domain. If not, find a value of x to

Andre45 [30]

Answer:

No because it contains points (3,4) and (3,-4). You cannot have a x assigned to more than one y-value if you want it to be a function.

Step-by-step explanation:

A function has one output per input.

If we are trying to determine if the given is a function of x, then x is the input.

However I can get two outputs from plugging in x=3.

$3^2+y^2=25$

$9+y^2=25$

Subtract 9 on both sides:

$y^2=25-9$

$y^2=16$

Take the square root of both sides:

$y=\pm \sqrt{16}$

$y=\pm 4$ .

So input x=3 yields y=4 and y=-4.

Since this input has more than one output then the given is not a function of x.

----Also!

If you graph the equation, it is a circle with radius 5 and center (0,0). So I could I plug in any number for x between -5 and 5 excluding -5 and 5 which would yield only one output each. Since plugging in either one gives:

$(\pm 5)^2+y^2=25$

$25+y^2=25$

Subtract 25 on both sides:

$y^2=25-25$

Simplify:

$y^2=0$

There is only one value y such that when you square it gives you 0. That is 0.

x=5 only gives y=0 and x=-5 only gives y=0.

There is no circle, unless it is a circle with radius 0 which means it really wouldn't be a circle, that is a function.

8 0

3 years ago

If you go out to eat with 3 friends and your meal was $72.50, what should you leave for gratuninty if you want to tip your waite

kvv77 [185]

Answer:

$10.88 or round up to $11

Step-by-step explanation:

Since 15 is expressed as a percent, you can convert it to a decimal.

.15, which can also be 15/100 if you were to write it as a fraction.

You are trying to find 15% of 72.50 so you would need to multiply your new decimal (.15) to your meal total. This will give you 10.875 or 10.88.

5 0

3 years ago

How do you complete the square to rewrite y= x^ -6x + 15 in vertex form

Vaselesa [24]

Vertex form of a quadratic equation is $y=a(x-h)^{2}+k$
where (h, k) is the vertex.

Our aim is to write the expression $y=x^{2} -6x+15$ in the form
$y=a(x-h)^{2}+k$

$y=x^{2} -6x+15$

$y=x^{2} -2*3*x+15$

$y=(x^{2} -2*3*x+ 3^{2})-3^{2}+ 15$

$y=(x-3)^{2}-9+15$

$y=(x-3)^{2}+6$

5 0

3 years ago

In collin county there are approximately 834,000 people. If about 30,000 are under the age of 25 what fractional part are above

tresset_1 [31]

Do 30000 divided by 834000 times .1

3 0

3 years ago

sume of angles of a triangel greater than 180 degrees when teh triange is so large that it extends to cosmological scales

Vesna [10]

In hyperbolic geometry, the angle sum of a triangle is always less than 180 degrees.

A lune is a wedge of a sphere with angle θ, represented by L(θ) in the proof.

α, β, and γ are the three angles of the triangle.

4πr²+4area[αβγ]=2L(α)+2L(β)+2L(γ)

2(2πr²+2area[αβγ])=2(L(α)+L(β)+L(γ))

2πr²+2area[αβγ]=L(α)+L(β)+L(γ)

At this point, we need to use a theorem that states that a lune whose corner angle is θ radians has an area of 2θr².

2πr²+2area[αβγ]=2αr²+2βr²+2γr²

2πr²+2area[αβγ]=2r²(α+β+γ)

π+area[αβγ]r²=α+β+γ

At this point, it is clear that the sum of the angles is equal to π plus the area[αβγ]r² (which cannot be zero).

To learn more about triangles and geometry,

brainly.com/question/2773823

#SPJ4

5 0

9 months ago