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3 years ago

Plz help on #7&10 just explain how to solve the question plz this is due tomorrow plz help

Mathematics

2 answers:

Colt1911 [192]3 years ago

8 0

#7 is 14 becuse 7 goes into a hundred 14 times #10 is 28 cause 28 goes into 255 9 times

notka56 [123]3 years ago

7 0

The answer to number
7. is 14.7 and the answer ti number 10 is 28.3

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Given y = log3(x + 4), what is the range?

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The range is all real numbers.

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$y=\log_3(x+4)$ only exists when $x+4$ is positive.

You can take the log of a negative or 0 number.

So $x+4>0$ implies $x>-4$ . (I just subtract 4 on both sides.)

So the domain is x>-4. You should see this also when you graph the curve that the curve only exist to the right of -4.

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$x=3^y-4$

Now here y can be anything; there are no restrictions on the exponent.

Also if you look at the graph of $y=\log_3(x+4)$ you should see every y getting hit by the curve (look down to up; use the y-axis as a guide).

Let's think about the inverse I found above a little more (I'm going to swap x and y).

$y=3^x-4$ .

If we look at the domain and range of this we can just swap it to get the domain and range of $y=\log_3(x+4)$ .

$y=3^x-4$ is an exponential function of 3^x that has been moved down 4 units.

The range since it has been moved down 4 units is $(-4,\infty)$ .

The domain of an exponential function is all real numbers. There are no restrictions on what you can plug in for x.

So swapping these to find the domain and range of $y=\log_3(x+4)$ :

Domain: $(-4,\infty)$

Range : $(-\infty,\infty)$

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