The question is:
19. if g(x) = 3 + x + e^x, find the inverse function of g (4).
Solution:
1) Put the equation as y = 3 + x + e^x
2) Solve for x = > x + e^x = y - 3
3) switch x and y => y + e^y = x - 3
4) y is the inverse
5) find y for the value requested (x = 4)
=> y + e^y = 4 - 3
=> y + e^y = 1
the solution is y = 0 because 0 + e^0 = 0 + 1 = 1.
Answer: 0.
We can use the system of equations:x + y = 217x - y = 85-----------------From the 2nd equation: y = x - 85x + x - 85 = 2172 x = 217 + 852 x = 302x = 302 : 2x = 151y = 217 - 151y = 66We can prove this solution:151 + 66 = 2017 and 151 - 66 = 85.Answer: those numbers are 151 and 66.
Answer:
-8n-1
Step-by-step explanation:
n-1-9n=n-9n-1=-8n-1
Nathan ate 20/24, Leroy ate 21/24, and Sofia ate 15/24 meaning Leroy ate the most
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = 
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = 
= 
=
, then r² = (
)² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle