We know that g(x) = \frac{3}{x^2+2x}
We have to find g^-1(x) or inverse of g(x)
Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y
g(x) = y = \frac{3}{x^2+2x}
⇒ y × (x² + 2x) = 3
⇒ yx² + 2xy = 3
⇒ yx² + 2yx - 3 = 0
Determining the roots of x using:
x = 
OR x = 
, where a is coefficient of x², b is coefficient of x, and c is the constant
⇒ x = 
OR x = 
⇒ x = 
OR x = 
Hence, g^-1(x) = OR x =
P is the cost of a pound of peanuts and F is the cost of a pound of dried fruit
0.5p+0.75f=6.5
0.75p+0.25f=4.5
Rearrange
0.5p=-0.75f+6.5
Simplify
P=-1.25f+13
Substitute
0.75(-1.25f+13)+0.25f=4.5
simplify
-0.9375f+9.75+0.25f=4.5
<span>-0.6875f+9.75=4.5
</span>-0.6875f=-5.25
f=7.636364
Round
F=$<span>7.64 per pound
</span>
Plug in
0.75p+0.25(7.64)=4.5
Simplify
0.75p+<span>1.91=4.5
0.75p=</span><span>2.59
</span>p=3.453333
Round
P=$3.45 per pound of peanuts
Final
P=$3.45 per pound of peanuts
F=$7.64 per pound of dried fruit
Here is the solutions for 3-11
Answer:
x=17
Step-by-step explanation:
x-9=8
add nine on both sides
x-9+9=8+9
the nines on the side with the x cancel each other
x=17
answer:
153.94cm²
Step-by-step explanation:
<3
