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d1i1m1o1n [39]
2 years ago
5

(07.08) f(x) = log₂ (x + 4), what is f¹(3)? (2 points)

Mathematics
1 answer:
ASHA 777 [7]2 years ago
3 0

It is Given that f(x) = log₂ (x + 4), so the value of f(3) is log₂ (7) or 2.807.

<h3>What is a logarithm?</h3>

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Given ;

f(x) = log₂ (x + 4)

we need to find f(3)

substitute x = 3 in f(x)

f(x) = log₂ (x + 4)

f(3) = log₂ (3 + 4)

f(3) = log₂ (7)

Hence, f(3) = 2.807

Learn more about logarithm here:

brainly.com/question/20835449

#SPJ1

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A local lake has a fish population that follows a geometric series with these properties first time equals 48 ratio equals 1/4 d
kondaur [170]

Answer:

64.

Step-by-step explanation:

Sigma notation is ∑48(1/4)^(n-1).

Upper limit =   a1 / (1 - r)  where a1 = initial population and r = common ratio.

So it is 48 / (1 - 1/4)

= 48 / 3/4

= 48 * 4/3

= 64.

4 0
3 years ago
ack is in hospital and his temperature is recorded every hour one morning. Time Temperature 06:00 40.0 07:00 40.0 08:00 39.5 09:
sukhopar [10]
I would say a line graph is probably the best way (it is usually the normal way) so that you can see the fluctations in temperature. Time on the x-axis and temp on the y-axis
4 0
3 years ago
What is the 74th term of this arithmetic sequence?<br> -25, -21, -17, -13,-9, -5,...
xz_007 [3.2K]

Answer:

267

Step-by-step explanation:

let's say that

f(0)=-25

so in the sequence we are adding 4

so f(1)=-25+4=-21

and f(2)=f(1)+4=-25+4+4=-25 + 4(2)

so if you continue you will notice that

f(n)=-25+4(n)

so our question is

<em><u>What is the 74th term of this arithmetic sequence?</u></em>

so if f(0) is our first term, the 74th will be f(73)

so we can apply our formula

f(73)=-25+4(73)

=-25+292

=267

3 0
3 years ago
Jerry wanted to find a way of his baby goat
S_A_V [24]

the baby goat wegihs 2.7kg

5 0
3 years ago
HELPPPPPPPPP
murzikaleks [220]

Answer:

Refer below

Step-by-step explanation:

A function is said to be increasing if y increases whenever x increases and y decreases whenever x decreases.

A function is decreasing if y increases when x decreases or vice versa.

Hence from the graph we find that when the curve is going up when we move to right the function is increasing otherwise decreasing.

f(x) attains its extreme values at x = -8, -3, 2 and 6

Left of -8 we find f(x) is increasing.

ie.(-infty, -8) increases, (-8,-3)decreases, (-3,2) increases, (2,6) decreases and (6,infty) increases

To consolidate increasing in (-infty, -8)U(-3,2)U(6,infty)

and decreses in (-8,-3)U(2,6)

5 0
4 years ago
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