Answer:
It falls between √7 and √8
Step-by-step explanation:
Please kindly check the attached file for explanation.
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
1st equation—x, substitute y:
<span>3x + 2(x + 3) = 16 </span>
<span>3x + 2x + 6 = 16 </span>
<span>5x = 10 </span>
<span>x = 2 </span>
<span>y in the above equation: </span>
<span>= 2 + 3 </span>
<span>= 5 </span>
<span>Answer: x = 2, y = 5</span>
Triangle-A is not "unique".
All of its angles are equal (60° each), and all of its sides
have the same length, but that length can be anything ...
1 millimeter, 1 light-year ... anything.
Each of the other choices can only be 1 triangle.
For each one, we can find the size of every angle,
and we can also find the length of every side.
Answer:
-12,3
Step-by-step explanation:
-12×3=-36
-12+3=-9
