Answer:
B.) f(x) = 3(4)x − 1
Step-by-step explanation:
A) f(x) = 12(4)x
B.) f(x) = 3(4)x − 1
C.) f(x) = 4(12)x
D.) f(x) = 4(3)x − 1
Given:
f(x+1) = 4f(x)
f(2)=12
f(2) = 12
f(3) = 4f(2) = 4 * 12 = 48
f(3)=48 and f(2)=12
From f(3)=48 and f(2)=12
r=48/12
=4
r=common ratio
Recall,
f(2)=12=ar
r=4
f(2)=ar=12
a*4=12
a=12/4
a=3
an=ar^(n-1)
For x term
an=3*4(x-1)
B.) f(x) = 3(4)x − 1
Answer:
x = 11.61 to the nearest hundredth.
Step-by-step explanation:
√(2x - 2) = x - 7
Square both sides:
2x - 2 = (x - 7)^2
2x - 2 = x^2 - 14x + 49
x^2 - 16x + 51 = 0
using the quadratic formula we get x = 4.39 , 11.61.
With radical equations we can get extraneous roots so we check these values:
X = 4.39 :
√(2(4.39) - 2) = 2.61
4.39 - 7 = -2.61 so 4.39 is NOT a root.
x = 11.61
√(2(11.61) - 2) = 4.61
11.61 - 7 = 4.61 so this is a root.
that looks like the right answer