(fog)(x) = f[g(x)] ...................
Answer:
x = 4
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 3
exponents = 2x + 1 , x + 5
3^(2x + 1) = 3^( x + 5)
3^(2x + 1) / 3^(x + 5) = 1
3^((2x + 1) - (x + 5) )= 1
3^(2x + 1 - x - 5) = 1
3^(2x - x +1 - 5) = 1
3^(x - 4) = 1
log 3^(x - 4) = log(1)
(x - 4) (log (3)) = 0
log(3) = 0 rejected
x - 4 = 0 accepted
x = 0 + 4
x = 4
<span>An example would be x+4 = 8</span>
120 miles divided by 25 = 4.8
4.8 x 4 = 19.2 inches
