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3 years ago

What is the inverse of the function f(x) = 4x + 8? h(x) = x – 2 h(x) = x + 2 h(x) = x – 2 h(x) = x + 2

Mathematics

2 answers:

kondaur [170]3 years ago

7 0

The inverse of f(x) = 4x + 8 is h(x) = x - 2

Scilla [17]3 years ago

5 0

Answer:

$y =\frac{1}{4}x - 2$

Step-by-step explanation:

f(x) = 4x + 8

To find inverse function , we replace f(x) by y

y = 4x+8

Now replace x with y and y with x

x = 4y + 8

Now solve for y

Subtract 8 on both sides

x - 8 = 4y

Divide by 4 on both sides

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

$y =\frac{1}{4}x - 2$

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What's the next number? 0 , 1/3 , 1/2 , 3/5 , 2/3

madam [21]

Answer:

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7

Step-by-step explanation:

The given numbers are;

0, 1/3, 1/2, 3/5, and 2/3

The number sequence is formed adding $\dfrac{1}{\left (\dfrac{n^2 + n}{2} \right ) }$ to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;

For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;

The

$0 +\dfrac{1}{\left (\dfrac{2^2 + 2}{2} \right ) } = 0 + \dfrac{1}{3} = \dfrac{1}{3}$

For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;

$\dfrac{1}{3} +\dfrac{1}{\left (\dfrac{3^2 + 3}{2} \right ) } = \dfrac{1}{3} + \dfrac{1}{6} = \dfrac{1}{2}$

For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;

$\dfrac{1}{2} +\dfrac{1}{\left (\dfrac{4^2 + 4}{2} \right ) } = \dfrac{1}{2} + \dfrac{1}{10} = \dfrac{3}{5}$

For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;

$\dfrac{3}{5} +\dfrac{1}{\left (\dfrac{5^2 + 5}{2} \right ) } = \dfrac{3}{5} + \dfrac{1}{15} = \dfrac{2}{3}$

For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;

$\dfrac{2}{3} +\dfrac{1}{\left (\dfrac{6^2 + 6}{2} \right ) } = \dfrac{2}{3} + \dfrac{1}{21} = \dfrac{15}{21} = \dfrac{5}{7}$

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.

6 0

3 years ago

Simplify. Rewrite the expression in the form 4^n (4^6)(4^-8) =

stiks02 [169]

Answer:

4^-2

Step-by-step explanation:

The rules of exponents tell you ...

(a^b)(a^c) = a^(b+c)

This means ...

(4^6)(4^-8) = 4^(6-8) = 4^-2

7 0

3 years ago

Please help me I will give you extra points and the brain thing

vovangra [49]

Answer:

A. n = 5

Step-by-step explanation:

S = n² + n

When S = 30:

n² + n = 30

Subtract 30 from both sides: n² + n - 30 = 0

Factorize: (n - 5)(n + 6) = 0

Therefore n = 5 or -6

As n > 2, then n = 5 only

4 0

2 years ago

ERICA WROTE 5 added to y as 5+y and 5 subtracted from y as 5-y.why is the expression correct but the second one incorrect? when

Lemur [1.5K]

Answer:

Step-by-step explanation:

Order is impotant since you could easily make a positve number negative and vice versa. You switch the order of 5 subtracted by y to y-5.

3 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

fenix001 [56]

Answer:

x^6y^3

Step-by-step explanation:

Given polynomial:

8x^6y^5 - 3x^8y^3

Get prime factors:

2*2*2*x*x*x*x*x*x*y*y*y*y*y - 3*x*x*x*x*x*x*x*x*y*y*y

Common factors of the two terms:

x*x*x*x*x*x*y*y*y = x^6y^3

So

x^6y^3(8y^2 - 3x^2)

x^6y^3 is the GCF of this polynomial

4 0

3 years ago