Answer:
D. N(a) = (a + 20)/3
Step-by-step explanation:
A(n) = 3n - 20
A is a function of n. The inverse will be: N is a function of a.
Change A(n) to y and n to x.
y = 3x - 20
Switch x and y.
x = 3y - 20
Solve for y.
x + 20 = 3y
3y = x + 20
y = (x + 20)/3
Now switch y to N(a) and x to a.
Answer: N(a) = (a + 20)/3
The inverse is (n+20)/3
a(n) = 3n - 20
Let this equal y
y = 3n-20
Exchange y and n
n = 3y-20
Solve for y
add 20 to each side
n+20 = 3y-20+20
n+20 = 3y
Divide each side by 3
(n+20)/3 = 3y/3
(n+20)/3 = y
3^4
Simplifying an expression with expression with exponents:
If they are dividing, we keep the base and subtract the exponents. For example:
In this question:
the moon blocks light from the sun by coming between the earth and the sun
125
2
3
Rewrite
as a product.
Tap for more steps...
(
1
)
Simplify.
5
Raise
to the power of
.
25
378+567-142÷5= 916.6
456(325-541)÷32= -3078