Question

If f(x)=35x+25
and g(x)=22x+18
find 5f(4)+2g(10)

Answer 1

1301

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

• Functions
• Function Notation

Explanation:

Step 1: Define

Identify

f(x) = 35x + 25

g(x) = 22x + 18

f(4) is x = 4 for function f(x)

g(10) is x = 10 for function g(x)

Step 2: Find Function Values

f(4)

1. Substitute in x [Function f(x)]: f(4) = 35(4) + 25
2. Multiply: f(4) = 140 + 25
3. Add: 165

g(10)

1. Substitute in x [Function g(x)]: g(10) = 22(10) + 18
2. Multiply: g(10) = 220 + 18
3. Add: g(10) = 238

Step 3: Evaluate

1. Substitute in function values: 5(165) + 2(238)
2. Multiply: 825 + 476
3. Add: 1301