Answer:
1. a =3(2a) +5 and a= 6a+5
2. 47=3(2times 7) +5 and 47 =6 time 7 plus 5
Step-by-step explanation:
F(x)=x/6+2
There is no restriction upon the values of x, or the values of y.
So the domain and range are both the set of all real numbers.
x=(-oo, +oo) and y=(-oo, +oo)
This can be further seen by the fact that this is a line with a slope of 1/6. So there is no restriction upon x as all values of x produce real values of y. And y approaches -oo as x approaches -oo and y approaches +oo as x approaches +oo.
The answer is true.
Method 1:
The given function is a cubic function. And inverse of a cubic function is also a function.
Method 2:
Since the function is one-to-one function i.e it passes the horizontal line test, its function will pass the vertical line test which is a test if a relation is a function or not.
So, yes the inverse of G(x) will be a function.
Answer:
1.✓3/2
2 2✓6/5
3cosecθ
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