function

Reverse PEMDAS to do algebraic equations.

 

Subtraction

Addition

Division

Multiplication

Exponents

Parentheses

 

First what we are going to want to do is set h(x) as 0.

 

0=1/4(x+4)²-3

 

Now, start with the equation solving process.

 

Add 3 to both sides.

 

3=1/4(x+4)²

 

Multiply by 4 on both sides.

 

12=(x+4)²

 

Square root on both sides

 

\(\sqrt{12}=x+4\)

 

Subtract 4.

 

sqrt(12)-4 = -0.5358983848622454

 

So x=-0.5358983848622454