What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

The inverse of the function f(x) is h(x) = 4x + 48 ⇒ (D)

Step-by-step explanation:

To find the inverse of a function do these steps

Let us do these steps to solve the equation

∵ f(x) = x - 12

→ Replace f(x) by y

∴ y = x - 12

→ Switch x and y

∴ x =  y - 12

→ Add 12 to both sides

∵ x + 12 =  y - 12 + 12

∴ x + 12 =  y

→ Multiply each term by 4

∵ 4(x) + 4(12) = 4(y)

∴ 4x + 48 = y

→ Switch the two sides

∴ y = 4x + 48

→ Replace y by h(x)

∴ h(x) = 4x + 48

∴ The inverse of the function f(x) is h(x) = 4x + 48

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

combine all like terms then its just a 2 step equation