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:
10
Step-by-step explanation:
C = 0.75 + L
For L = 3 ; Cost, C = 3.75
3.75 = 0.75 + 3L
3.75 - 0.75 = 3L
3 = 3L
L = 3/3
L = $1
C = 0.75 + 1L
If amount spent is $10.75; C = 10.75
10.75 = 0.75 + L
10.75 - 0.75 = L
10 = L
Number of letters = 10
I'd help if I could, but unfortunately, this is the one area of math that I suck at.
√8 = 2√2 = 2√2 = 2 x 1.414... =2.828....(irrational number between 2 and 3)
2.π = 6.283...........................................(irrational number between 6 and 7)
7/3 = 2.33333.. (mind you a repeating decimal is a rational number), then:
7/3 = 2.33333 ......................................(rational number between 2 and 3)
e/2 = 1.359...........................................(irrational number between 1 and 2)
3/2 = 1.5 ..............................................(rational number between 1 and 2)