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:
2/5
Step-by-step explanation:
first, we convert the mixed fractions to improper fractions,
so then we find what
=
and that equals , which equals
. We can simplify that to 2/5
Answer:
Step-by-step explanation:
Looking at the graph, we can see the domain to be from (0 , 2π).
Now we have to find one period that corresponds to cos(x).
The half-period of cos(x) for this graph appears to be pi/3 and adding another pi/3 gets us 2pi/3 to be our cosine period.
b = 2pi/3
a is the same range as cos(x). Range: (0,0)
y = [a] * cos ([b]*x)
y = [1] * cos([2pi/3]x)
