First make x the subject of the relation:-
f(x) = 2x - 4
2x = f(x) + 4
x = (f(x) + 4) / 2
Now replace x by the inverse f-1(x) and f(x) by x :-
f-1(x) = (x + 4) / 2
Answer:
288
Step-by-step explanation:
then
72=9k
dividing both side by 9
k=72÷9
=8
y=8×6²
y=8×36
y=288
Answer:
Step-by-step explanation:
8P3=8*7*6=336
F'(x)=-2x{e^(-x²)}
Equating f'(x)=0,
i.e,
-2x{e^(-x²)}=0....eqn(i)
For maximum slope:
Differentiating (i) wrt x,we get,
4x² {e^(-x²)}-2 {e^(-x²)}=0
{e^(-x²)} [4x²-2]=0
4x²-2=0
x=1/√2
If f(x)=y then f'(x)=dy/dx=slope
So,
Maximum slope
= f'(x)
= -2x{e^(-x²)}
=-2×(1/✓2){e^(-1/✓2)²}
= -✓2{e^(-1/2)}
=(-sqrt 2/sqrt e)
=-sqrt(2/e)➡c is correct
Answer:
56
Step-by-step explanation:
