Question

Im not sure what to do

Answer 1

Answer:

$h(-1)=\frac{-2}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Function Notation

Step-by-step explanation:

Step 1: Define

$h(x)=\frac{2x-6}{4x^2+8}$

h(-1) is x = -1

Step 2: Evaluate

1. Substitute:                    $h(-1)=\frac{2(-1)-6}{4(-1)^2+8}$
2. Exponents:                   $h(-1)=\frac{2(-1)-6}{4(1)+8}$
3. Multiply:                        $h(-1)=\frac{-2-6}{4+8}$
4. Subtract:                       $h(-1)=\frac{-8}{4+8}$
5. Add:                              $h(-1)=\frac{-8}{12}$
6. Simplify:                        $h(-1)=\frac{-2}{3}$