A)180.48 m2 B)180.48 m C)80.48 m2 D)80.48 m
1 answer:
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Answer:
The range is all real numbers.
The domain is all reals numbers that are greater than -4.
Step-by-step explanation:
only exists when
is positive.
You can take the log of a negative or 0 number.
So implies
. (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.
Now the range. The range is where the curve exist for the y-values.
The equivalent exponent form of is
We can solve this for x be subtract 4 on both sides:
Now here y can be anything; there are no restrictions on the exponent.
Also if you look at the graph of 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).
.
If we look at the domain and range of this we can just swap it to get the domain and range of .
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 .
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 :
Domain:
Range :
Answer:
D
Step-by-step explanation:
The diagram is composed of one large right triangle and inside it it's divided into 2 small right triangles. Since these triangles all have the same shape but not the same size, they are similar triangles. Using similar triangles, create a proportion of side lengths. A proportion is an equation with equal ratios from the large triangle to a small. Notice the large triangle has a hypotenuse of 6+7 = 13 and a leg of x. The small triangle has a hypotenuse of x and a leg of 7.
To solve for x, cross multiply the numerator with the denominator.