1) f(x) + g(x)
= 7√x + 4 + 2√x - 2
= √x(7 + 2) + 2
= 9√x + 2 [ Final Answer ]
2) f(x) - g(x)
= 7√x + 4 - (2√x - 2)
= 7√x + 4 - 2√x + 2
= √x(7 - 2) + 6
= 5√x + 6 [ Final Answer ]
Hope this helps!
9514 1404 393
Answer:
y = -(x+1)^2 +3
Step-by-step explanation:
Translating f(x) left by 1 unit replaces x with x+1.
Translating f(x) up by 3 units replaces f(x) with f(x)+3.
Reflecting f(x) over the x-axis replaces f(x) with -f(x).
__
When y = x^2 is reflected over the x-axis, it becomes ...
y = -x^2
When y = -x^2 is translated 1 unit left, it becomes ...
y = -(x +1)^2
When y = -(x+1)^2 is translated 3 units up, it becomes ...
y = -(x +1)^2 +3
9514 1404 393
Answer:
dy/dx = y/(2x)
Step-by-step explanation:
The product formula can be used, along with the power rule.
d(uv) = du·v +u·dv
__
d(y^2/x) = d(18)
2y·dy/x -y^2/x^2·dx = 0
2x·dy -y·dx = 0 . . . . . . . . multiply by x^2/y
dy/dx = y/(2x) . . . . . . . . add y·dx, divide by 2x·dx
1. (x, y) = (7, -12)
2. x = 1, x = 2 are both solutions