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.
Answer:
Least common multiple (LCM) of 5 and 10 is 10.
75 x 0.72 is the answer, you can type it into a calculator
Answer:
The correct option is B)
and 
Step-by-step explanation:
given 
Since, 
it means prependicular of right angled triangle can be calculated by pythagoras theorem as:
base² + prependicular² = hypoteneous²
2² + prependicular² = 3²
4 + prependicular² = 9
prependicular² = 9 - 4
prependicular² = 5
prependicular = √5
Since, 

Since, 

Hence, the correct option is B)
and 
Answer:
6. c = 5
7. b = 8
8. a = 0.75
9. b = 12
10. c = 0.5
11. c = 17
12. b = 1.34
13. a = 4.5
14. a = 1.2
15. c = 6.1
16. b = 15
17. c = 41
18. a = 7
19. c = 8.5
20. b = 4
Step-by-step explanation:
You need to use Pythagorean theorem. Put the number for a in a, b in b, and c in c. DON'T forget to square a, b, and c.