Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Total possible outcomes of 3 dice = 6 x 6 x 6 = 216
Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
.
.
etc. There 27 of them.
Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .
Answer:
Answer: 45
Step-by-step explanation:
Well it seems like your answer would follow along with is:
`18x2.5=45
Hope this helps good sir!
Remember that there is 100 centimeters in a meter, and 1000 meters in a kilometer. If you multiply both values together (so you have a conversion of centimeters to kilometers) you get 100,000. Therefore, 100,000 centimeters makes a kilometer. Divide 320,000 by 100,000 and you get 3.2. Therefore, a centimeter would represent 3.2 kilometers.