40+35 is the answer of the Ixl question
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
Answer:
The length of the hallway is 10 m.
Step-by-step explanation:
Given:
Time taken to cover 1 km = 2.5 hours
Distance covered in 2.5 hours = 1 km
Therefore, speed of robot = 
Now, speed is constant.
Now, time taken to cover the length of hallway = 90 s
Speed of the robot = 0.4 km/h
Converting 0.4 km/h to m/s, we multiply by the factor 
. This gives,
Now, distance of the hallway is equal to the product of speed and time. So,
Distance of hallway = Speed 
Time
Distance of hallway = 
Therefore, the length of the hallway is 10 m.
Answer:
$73.60
Step-by-step explanation:
Original price: $64
Markup: 0.15($64) = $9.60
New retail price: $64 + $9.60 = $73.60
The slope is 1.
Step-by-step explanation:
