If f(x) = 7x + 4 and g(x) = x + 4, what is (fog)(-3)?
1 answer:
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Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A ( ) = 3 hours
Time taken by Machine B ( )= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula =
Put the values in above formula we get
⇒ T =
⇒ 12 =
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Answers:
These are the statements that apply:
The initial value is 3.
The range is y >0.
The simplified base is 8.
Explanation:
1) Given expression:
2) Check every statement:
a) The initial value is 3?
initial value ⇒ x = 0 ⇒
∴ The statement is right.
b) The initial value is 48?
Not, as it was already proved that it is 3.
c) The domain is x > 0?
No, because the domain of the exponential functions is all the Real numbers.
d) The range is y > 0?
That is correct, the exponential function is continuous, and monotonon increasing.
The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.
e) The simplified base is 12?
This is how you simplify the base:
Which shows that the simplified base is 8 (not 12).
f) The simplified base is 8?
Yes; this was just proved.