Answer:
(f◦g)(x) = 6x +9
Step-by-step explanation:
Use g(x) as the argument to f(x) and simplify.
(f◦g)(x) = f(g(x)) = f(3x +5) = 2(3x +5) -1
(f◦g)(x) = 6x +9
Answer: in five years time, the sales would be $100367
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total sales at the end of t years
r represents the growth rate.
n represents the periodic interval at which it was compounded.
P represents the current sales.
t represents the time in years
From the information given,
P = 75000
r = 6% = 6/100 = 0.06
n = 11 because it was compounded once in a year.
t = 5 years
Therefore,
A = 75000(1+0.06/1)^1 × 5
A = 75000(1+0.06)^5
A = 75000(1.06)^5
A = $100367
Answer:
3 log (z) - 1/2log (x) - 1/2 log (5) -1/2 log y
Step-by-step explanation:
log(z3)/√x5y)
= log (z3) - log (√x5y) [division being subtracted]
= 3 log (z) - {log (√x) + log (√5y)} [ multiplication being added in the denominator]
= 3 log (z) - {log (x)^1/2 + log (5)^1/2+ log (y)^1/2}
= 3 log (z) - 1/2{log (x) + log (5)+ log y }
We can solve inside the curly bracket and then multiply with 1/2 or we can solve it separately
= 3 log (z) - 1/2log (x) - 1/2 log (5) -1/2 log y
How does this work?
1) any two terms being multiplied in logarithms are added with the log of each.
2) the exponent becomes the co- efficient.
3) any two terms being divided in logarithms are subtracted with the log of each
Recursive Formula? I don't understand this
