Rectangle prisms have 6 flat surfaces.
Answer:
P(yellow or red) =8/15
Step-by-step explanation:
There are 15 marbles, 3 green, 4 blue, and 5 red marbles.
3+4+5 = 12
That means there are 15-12 = 3 3 yellow marbles.
3 green,
4 blue
5 red
3 yellow
To find the probability of yellow or red, we add the number of yellow and red marbles together over the total number of marbles
P(yellow or red) = (yellow +red)/ total
= (3+5)/ 15
=8/15
f(x)=x3−5
Replace f(x)
with y
.
y=x3−5
Interchange the variables.
x=y3−5
Solve for y
.
Since y
is on the right side of the equation, switch the sides so it is on the left side of the equation.
y3−5=x
Add 5
to both sides of the equation.
y3=5+x
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
y=3√5+x
Solve for y
and replace with f−1(x)
.
Replace the y
with f−1(x)
to show the final answer.
f−1(x)=3√5+x
Set up the composite result function.
f(g(x))
Evaluate f(g(x))
by substituting in the value of g into f
.
(3√5+x)3−5
Simplify each term.
Remove parentheses around 3√5+x
.
f(3√5+x)=3√5+x3−5
Rewrite 3√5+x3
as 5+x
.
f(3√5+x)=5+x−5
Simplify by subtracting numbers.
.
Subtract 5
from 5
.
f(3√5+x)=x+0
Add x
and 0
.
f(3√5+x)=x
Since f(g(x))=x
, f−1(x)=3√5+x is the inverse of f(x)=x3−5
.
f−1(x)=3√5+x