Question

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))

Answer 1

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Here,

f(x) = 8x + 5 and g(x) = 7x - 2,

we have to find the f(g(4))

1st we have to solve the g(x)

• g(x)=7x-2
• g(4)=7(4)-2
• g(4)=28-2
• g(4)=26

Now substitute the functional value,

• f(g(x))=8x+5
• f(g(4))=8(26)+5
• f(g(4))=208+5
• f(g(4))=213

.°. The value of f(g(4)) is 213.

Answer 2

f(g(4)) = 213

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
• Composite Functions

Explanation:

Step 1: Define

Identify

f(x) = 8x + 5

g(x) = 7x - 2

Step 2: Find f(g(4))

1. Substitute in x [Function g(x)]: g(4) = 7(4) - 2
2. Multiply: g(4) = 28 - 2
3. Subtract: g(4) = 26
4. Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5
5. Multiply: f(g(4)) = 208 + 5
6. Add: f(g(4)) = 213