Answer:
f⁻¹(x) = x/4 + 1/2
Step-by-step explanation:
To find the inverse of a function, switch the x and y variables, then isolate y.
f(x) replaced y, so you can replace it back.
y = 4x - 2
x = 4y - 2 Switched x and y
x + 2 = 4y Added 2 to both sides
y = x/4 + 2/4 Divided both sides by 4
y = x/4 + 1/2 Simplified
f⁻¹(x) = x/4 + 1/2 Use function notation
Answer:
y = 10(1.01)^60
Step-by-step explanation:
The general equation of exponential growth is
y = ab^x
b has to do with the rate of growth.
b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.
Now we have
y = a(1.01)^x
a is the initial value, so now we have
y = 10000(1.01)^x
where y is the number of books after x months
Since you need the number of books after 5 years, we must convert 5 years into months.
5 years * (12 months)/year = 60 months
The problem wants the expression in thousands of books, so we divide the initial value by 1000.
Answer: y = 10(1.01)^60
Answer:16/15
Step-by-step explanation:
slope=
=
=
=
Answer:
Step-by-step explanation:
Combine like-terms:
Answer:
i got x equals 1/4
Step-by-step explanation:
