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2 years ago

If f(x)=2x-6, which of these is the inverse of f(x)?

Mathematics

1 answer:

nikitadnepr [17]2 years ago

3 0

Answer:

f-¹(x) = (x + 6)/2

Step-by-step explanation:

Replace f(x) with y.

y = 2x – 6

Interchange x and y.

x = 2y – 6

Solve for y.

y = (x + 6)/2

Replace y with f-¹(x)

f-¹(x) = (x + 6)/2

You might be interested in

Help please explain how you got the answer

pychu [463]

Answer: V≈900 ft³

Step-by-step explanation:

Formula

V=πr²h

Given

r=5 ft

h=12 ft

Solve

V=πr²h

V=π(5)²(12)

V=π(25)(12)

V=300π

V≈300(3)

V≈900 ft³

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago

Sketch the graph of the function f(x) = -(x-4)^3 by indicating how a more basic function has been shifted, reflected, stretched,

irina [24]

Step-by-step explanation:

In the attached images we can see the rigid transformation of the function $f(x) =x^{3}$

1. The basic graph $f(x) =x^{3}$

2. The reflected graph $f(x) = -x^{3}$

3. The displaced graph $f(x) = -(x-4)^{3}$

Reflection: In the expression $f(x) = -(x-4)^{3}$ , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

Displacement: We observe the term (x-4) of the function $f(x) = -(x-4)^{3}$ and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted .

3 0

3 years ago

Is 7/9 a rational number ?

zzz [600]

Answer:

Yes.

Step-by-step explanation:

Rational numbers can be represented as fractions with integers. The denominator must not equal 0.

$\frac{7}{9}$ is already in this form. This means that it's a rational number.

Hope this helps.

8 0

3 years ago

Find the length of the hypotenuse. Round your<br> answer to the nearest hundredth.

sergij07 [2.7K]

Answer:

8.06

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65= c^2

Find the square root of 65

8.06

3 0

3 years ago

Who drove faster? Trevor drove 202 miles in 4 hours Maggie drove 330 miles in 6 hours Nev drove 412 miles in 8 hours Juanita dro

Roman55 [17]

Answer:

Maggie

Step-by-step explanation:

So trevor drove 50.5mph bc 202/4

Maggie 330/6 = 55mph

Nev 412/8=51.5mph

Juanita 261/5= 52.2mph

7 0

3 years ago