Answer :

The correct option is c. f(3) for [tex]f(x) = 5^x - 12[/tex] is 113.

To find [tex]\( f(3) \)[/tex] for [tex]\( f(x)[/tex] = [tex]5^x - 12 \)[/tex]:

[tex]\[f(3) = 5^3 - 12\][/tex]

Calculate 5³:

[tex]\[5^3 = 125\][/tex]

Subtract 12 from 125:

[tex]\[125 - 12 = 113\][/tex]

[tex]\( f(3) = 113 \)[/tex]

The complete question is

Find f (3)for f (x) = [tex]5^x - 12[/tex].

a. 3

b. 57

c. 113

d. 125

Answer:

113

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

f(x) = 5ˣ - 12

f(3) is x = 3

Step 2: Evaluate

  1. Substitute in x: f(3) = 5³ - 12
  2. Exponents: f(3) = 125 - 12
  3. Subtract: f(3) = 113