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

the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x