Inverse function of the function...? I’m slowly losing my mind...

x^2 ÷4

Step-by-step explanation:

f(x) = ( 4x) ^1/2

y = (4x)^1/2

x = y^2 ÷ 4

then, inverse fun. is x^2 ÷ 4

x^{2} /4

Step-by-step explanation:

Rewrite f(x)= as y=:

y= \sqrt{4x}

Then swap x and y

x= \sqrt{4y}

x^{2} =4y

y=f^(-1)(x)= x^{2} /4

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )