f(x) = 5x+-4 g(x) = 10x-8tentukan (fog)(x)

To find \((f \circ g)(x)\), which is \(f(g(x))\), we substitute \(g(x)\) into \(f(x)\).

Given:
- \(f(x) = 5x - 4\)
- \(g(x) = 10x - 8\)

We need to calculate:
\[
(f \circ g)(x) = f(g(x)) = f(10x - 8)
\]

Now substitute \(g(x)\) into \(f(x)\):
\[
f(10x - 8) = 5(10x - 8) - 4
\]

Simplify:
\[
f(10x - 8) = 5(10x) - 5(8) - 4 = 50x - 40 - 4 = 50x - 44
\]

Thus:
\[
(f \circ g)(x) = 50x - 44
\]

Would you like more details on the composition of functions or have any questions?

Here are five related questions to further your understanding:
1. What is the process for finding \((g \circ f)(x)\)?
2. How would you find \((f \circ f)(x)\)?
3. Can you explain the difference between function composition and multiplication?
4. How would the process change if the functions were not linear?
5. How would you interpret the graph of \((f \circ g)(x)\) in comparison to \(f(x)\) and \(g(x)\)?

**Tip:** When composing functions, always ensure to substitute the inner function completely before simplifying the expression.

f(x) = 5x - 4, g(x) = 10x - 8. Tentukan (f ∘ g)(x)

Learn how to solve the function composition (f ∘ g)(x) where f(x) = 5x - 4 and g(x) = 10x - 8. This detailed solution covers key algebraic concepts, including linear functions and the function composition theorem. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation