Find the inverse of f(x)= -4/x-1 +2

Mathematics

1 answer:

Flura [38]3 years ago

8 0

Answer:

The inverse f-1(x) = (2 - x)/4 + 1.

Step-by-step explanation:

Let y = -4 /(x - 1) + 2

-4/(x - 1) = y - 2

x - 1 = (y - 2) / -4

x = -(y - 2)/4 + 1

x = (2 - y)/ 4 + 1

Now replace x by f-1(x) ( the inverse) and y by x:

f-1(x) = (2 - x)/4 + 1.

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What expression is equivalent to 2( 4g+6h+7)

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Answer:

= 8g + 12h + 14

Step-by-step explanation:

2( 4g+6h+7)

= 8g + 12h + 14

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3 years ago

What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
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Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

4 years ago

Read 2 more answers

Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest

MrRissso [65]

Answer: 2, 6

<u>Step-by-step explanation:</u>

Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.

RS + ST > RT and RS + RT > ST and ST + RT > RS

2x + 4x > 12 2x + 12 > 4x 4x + 12 > 2x

6x > 12 12 > 2x 12 > -2x

x > 2 6 > x -6 < x