Answer:
If you actually meant f(x)=2x+3x−1 ,
then note it can be rewritten as:
f(x)=2x−2+5x−1=2+5x−1=y
At this point you can find x in terms of y (“make x the subject”):
y−2=5x−1⟹1y−2=x−15
⟹x=5y−2+1=y+3y−2
Switch variables back to x, and you have the inverse function of f:
g(x)=x+3x−2
How do you know you’ve calculated correctly? The composition of f with g should result in x — that is, evaluate f(g) and you should get the result x:
Answer:
y=t−1+ce
−t
where t=tanx.
Given, cos
2
x
dx
dy
+y=tanx
⇒
dx
dy
+ysec
2
x=tanxsec
2
x ....(1)
Here P=sec
2
x⇒∫PdP=∫sec
2
xdx=tanx
∴I.F.=e
tanx
Multiplying (1) by I.F. we get
e
tanx
dx
dy
+e
tanx
ysec
2
x=e
tanx
tanxsec
2
x
Integrating both sides, we get
ye
tanx
=∫e
tanx
.tanxsec
2
xdx
Put tanx=t⇒sec
2
xdx=dt
∴ye
t
=∫te
t
dt=e
t
(t−1)+c
⇒y=t−1+ce
−t
where t=tanx
To find the decreased percentage,here's what we can do:
In this case,the eqaution would be:
Hope it helps!
Answer:
No i do for other stuff but not this and the answer is 18
Step-by-step explanation:
