Answer:
Step-by-step explanation:
f(x)=-4x+2
g(x)=x²+1
(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6
(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102
Answer:
1. 81
2. 108 1/2
3. 189 1/2
Step-by-step explanation:
f(3) = 1.9
Solution:
Given function:

To find f(3):
Substitute x = 3 in the given function.


Let us first simplify
.
Apply exponent rule: 

The value of
. (using calculator)


Substitute this value in f(3).


f(3) = 1.9
Hence the value of f(3) is 1.9.
The total length of the fencing is 248 ft; we call this the "perimeter" of the garden. Since P = 2W + 2L in general, here:
P = 248 ft = 2W + 2(W+6), or 248 ft = 4W + 12.
Subtracting 12 from both sides of this equation: 236 ft = 4W. Then W = 59 ft, which means that L = 65 ft.