Let f(x) = y
y = 2^x
x = 2^y
Solve for y.
ln x = ln(2^y)
ln x = y ln 2
ln x/ln 2 = y
Replace y with f^(-1) x.
f^(-1) x = ln x/ln 2
We now know f(x) and f^(-1) x.
Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.
Good luck.
N x 2 = 12 + 5n
2n - 5n = 12
-3n = 12
3n = -12
n = -4
Answer:
6 days
Step-by-step explanation:
pay 60 = -60
Let d = the number of days
30d - 60 = sister
20d = me
Equation:
30d - 60 = 20d Move 30 to the other side
-30d -30d
-60 = 20d - 30d Combine liked terms
-60 = -10d
-10 -10 Divide
d = 6
Answer:
Jerry will have two apples only
4-2=2
Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)