Which equation represents the inverse of f(x)=(x+3)^2+5 for x ≤-3

f(x)=(x+3)^2+5

let f(x)=y

y=(x+3)^2+5

interchanging role of x and y

x=(y+3)²+5

x-5=(y+3)²

√(x-3)-3=y

y=√(x-3)-3

:.inverse of f(x)=(x+3)^2+5 is f-¹(x)=√(x-3)-3

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

answer: the answer is e

step-by-step explanation: