Math Problem Statement

Diketahui fungsi f(x) = 3x + 2, g(x) = 4x - 3. Tentukan nilai dari f(4) dan g(7)?

Solution

Let's solve the first question together:

We are given the function f(x)=3x+2f(x) = 3x + 2 and asked to find f(4)f(4).

Step-by-Step Solution:

  1. Substitute x=4x = 4 into the function: f(4)=3(4)+2f(4) = 3(4) + 2

  2. Perform the calculation: f(4)=12+2=14f(4) = 12 + 2 = 14

Thus, the value of f(4)f(4) is 14.

Now, for the second question:

We are given the function g(x)=4x3g(x) = 4x - 3 and asked to find g(7)g(7).

Step-by-Step Solution:

  1. Substitute x=7x = 7 into the function: g(7)=4(7)3g(7) = 4(7) - 3

  2. Perform the calculation: g(7)=283=25g(7) = 28 - 3 = 25

Thus, the value of g(7)g(7) is 25.

If you need more details or have questions, feel free to ask! Here are some related questions to explore:

  1. What is the value of f(x)f(x) for any general xx?
  2. How would you interpret the graph of f(x)f(x) and g(x)g(x)?
  3. Can you find f(0)f(0) and g(0)g(0)?
  4. What are the zeros of the functions f(x)f(x) and g(x)g(x)?
  5. What would happen if we combined f(x)f(x) and g(x)g(x), e.g., f(x)+g(x)f(x) + g(x)?

Tip: Always substitute values carefully and follow through with the operations in sequence to avoid mistakes!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = 3x + 2
g(x) = 4x - 3

Theorems

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Suitable Grade Level

Grades 6-8