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:you divide 90 by 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
so we are gonna have a percent decrease because it went from 188 to 42
decrease = (original number - new number) / (original number ) * 100
= (188 - 42) / (188) * 100
= (146 / 188) * 100
= 0.7766 * 100
= 77.66% decrease....not sure if u need ur answer rounded to the nearest percent or not....if so, its a 78% decrease
A(3,4) B(-2.7) C(-3,2) D(3,0)
Add 1 to the 1st # of each
Add 2 to the 2nd #of each
