Answer:
[-4, 9]
Step-by-step explanation:
The range is the vertical extent of the relation.
__
The minimum value of g is marked by the solid dot at (x, y) = (4, -4). That minimum is -4.
The maximum value of g is the peak at (x, y) = (-2, 9). That maximum is 9.
The function is continuous between these values, so the range includes all values between -4 and +9, inclusive.
range: [-4, 9]
{11, 13, 13, 14, 14, 16, 18, 23, 24}
- interquartile range : 7.5
Answer:
a) fog(x) = (x-2)⁴ +4
b) (g o f) (x) = x⁴ + 2
c) hog(x) =
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the function
f(x) = x⁴+4 , g(x) = x-2 , h(x) = √x
f o g (x) = f(g(x))
= f(x-2)
= (x-2)⁴ +4 (∵ f(x) = x⁴ +4))
fog(x) = (x-2)⁴ +4
<u><em>Step(ii):-</em></u>
(g o f) (x) = g(f(x))
= g(x⁴ +4)
= x⁴ +4 -2 ( ∵ g(x) = x-2)
= x⁴ + 2
(g o f) (x) = x⁴ + 2
<u><em>Step(iii)</em></u>:-
hog(x) = h(g(x))
= h(x-2)
=
hog(x) =
Answer:
∠RQS=72 ∠SQT=83
Step-by-step explanation:
4x-20+3x+14=155
7x-6=155
7x=161
x=23
∠RQS=23*4-20=92-20=72
∠SQT=155-72=83