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:
3
Step-by-step explanation:
All you have to do is take that bottom dot and count how many the rise is ----3 and how many the run is -----1.
Therefore, 3/1 is 3
Hello:
an equation for the line is : y =mx +b (m: is a slope )
parallel to the liney=2x+2 ( same slope m =2)
the equation is : y =2x+b
through the point (-1,3) : 3 =2(-1)+b....... b=5
the equation is : y = 2x +5
The rate of change is
(2- (-1))/ (3/2-(-4)) => 3 / (11/2)
that is equal to 6/11 so almost 1/2
Answer:
how many seconds per hour?
Step-by-step explanation:
