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 : 10
Step-by-step explanation:
2 kg = 2000g
600g peanuts : 2000 cashew nuts
600 : 2000
divide both sides by a common divisor ( 200)
600/200 : 2000/200
3 : 10
Answer:
Step-by-step explanation:
10^2+3^2=109 and sqrt 109 getting 10.4
Answer:
Thank you soooo much
Step-by-step explanation:
Have a great day
Answer:
20
Step-by-step explanation:
u make a proportion and solve for x:
294/12 = 490/x
12 x 490 = 5880
5880/294 = 20
