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3 years ago

If F(x) = x-3, which of the following is the inverse of F(x)?

Mathematics

2 answers:

charle [14.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

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

y = x - 3 ( add 3 to both sides )

y + 3 = x

change y back into terms of x, then

$f^{-1}$ (x) = x + 3 → B

BigorU [14]3 years ago

4 0

Answer:

Step-by-step explanation:

Let y = x - 3

x = y + 3

f-1(x) = x + 3.

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PLEASE HELP ASAP I WILL MARK BRAINLIEST IF THERE ARE MULTIPLE ANSWERS!!!!!

igor_vitrenko [27]

Answer:

Attached

Step-by-step explanation:

x+8≥9

x ≥ 9-8

x ≥ 1

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4 0

3 years ago

Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where a is the initial term and r is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let n = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

8 0

2 years ago

Michelle has 3

anyanavicka [17]

Answer: 4/5

Step-by-step explanation:

3 0

2 years ago

How fast is the apple traveling when the kinetic energy is 32 joules?

Daniel [21]

Answer

The apple is traveling at 8 meters per second

Explanation

We have the equation that relates the kinetic energy with the velocty:

$K=\frac{v^2}{2}$

Then, to find thevelocity when the apple has 32, we replace K = 32 j:

$\begin{gathered} 32=\frac{v^2}{2} \\ 32\cdot2=v^2 \\ 64=v^2 \\ v=\sqrt{64}=8 \\ \end{gathered}$

Thus, the speed of the apple is 8meter per second

8 0

11 months ago

Kindly solve this question 6 too !!

Shkiper50 [21]

Answer:

$x=1$

Step-by-step explanation:

$~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1$

7 0

2 years ago