All categories

1 year ago

If f(x)...............

Mathematics

2 answers:

alex41 [277]1 year ago

4 0

Answer:

The inverse is 5x-6

Step-by-step explanation:

To find the inverse of a function

y = ( x+6) /5

Exchange x and y

x = ( y+6)/5

Solve for y

Multiply each side by 5

5x = (y+6)/5 *5

5x = y+6

Subtract 6 from each side

5x-6 = y+6-6

5x-6 =y

The inverse is 5x-6

Brilliant_brown [7]1 year ago

4 0

Step-by-step explanation:

$f(x) = \frac{x + 6}{5}$

$\:$

$y = \frac{x + 6}{5}$

$\frac{y + 6}{5} = x$

$y + 6 = 5\times x$

$y + 6 = 5x$

$y = 5x - 6$

${f}^{ - 1} (x) = 5x - 6$

The answer is D.

You might be interested in

Evaluate in the following expression when x = 4 and y = 5

PIT_PIT [208]

Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.
3.8
14.83
19.58
23.5

7 0

2 years ago

Determine whether each of the functions log(n + 1) and log(n2 + 1) is o(log n)

larisa86 [58]

Assuming the order required is as n-> inf.

As n->inf, o(log(n+1)) -> o(log(n)) since the 1 is insignificant compared with n.

We can similarly drop the "1" as n-> inf, the expression becomes log(n^2+1) ->
log(n^2)=2log(n) which is still o(log(n)).

So yes, both are o(log(n)).

Note: you may have more offers of answers if you post similar questions in the computer and technology section.

8 0

2 years ago

In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r

iren2701 [21]

Answer:

 $f(x) = 1588.4x + 39000$ 