Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer 2

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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.