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
Solve the equation to get values for x and y.
For example,
When x is 0,
y = 1
You have one point on the line (0,1)
Now, when y = 0,
x = 36/5 = 7.2
You have one more point on the line (7.2,0)
Plot these points on the x and y axes.
Draw a straight line joining these two points. ( I hope you can plot the points)
185582/25 i got this using the power of a calculator.
The area of the circle can be calculated with the following formula
First let's find the radius
The answer would be 200.96 square yards
Answer:
36
Step-by-step explanation:
Note that if there are two of the same number multiplied within a root, it becomes a whole number
√18 x √18 = 18
Next, simplify √4. Factor the number:
√4 = √(2 x 2) = 2
Multiply: 18 x 2 = 36
36 is your answer
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