Math Problem Statement

the functions f and g are such that f(x) = (3x - 2) and g(x) = 4x + 3. find f(5)

Solution

We are given the function:

f(x)=3x2f(x) = 3x - 2

To find f(5)f(5), substitute x=5x = 5 into the function:

f(5)=3(5)2f(5) = 3(5) - 2

=152= 15 - 2

=13= 13

Thus, f(5)=13f(5) = 13. ✅

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Related Questions:

  1. Find g(5)g(5) for g(x)=4x+3g(x) = 4x + 3.
  2. Determine f(g(2))f(g(2)).
  3. Solve for xx if f(x)=7f(x) = 7.
  4. Find the inverse function of f(x)f(x).
  5. Determine (fg)(x)(f \circ g)(x) (composition of functions).

Tip:

When evaluating functions, always replace xx with the given value and follow the order of operations carefully. 🚀

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Math Problem Analysis

Mathematical Concepts

Algebra
Function Evaluation

Formulas

f(x) = 3x - 2

Theorems

Substitution Property of Functions

Suitable Grade Level

Grades 6-8