Subjects algebra

Solve For X 410E52

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: Solve for $x$ at $g(x) = 4$ given the function below. g(x) = 1 + \frac{x}{5} x =
1. **State the problem:** We need to find the value of $x$ such that $g(x) = 4$ for the function $$g(x) = 1 + \frac{x}{5}$$. 2. **Write the equation to solve:** Set the function equal to 4: $$1 + \frac{x}{5} = 4$$ 3. **Isolate the term with $x$:** Subtract 1 from both sides: $$\frac{x}{5} = 4 - 1$$ $$\frac{x}{5} = 3$$ 4. **Solve for $x$:** Multiply both sides by 5 to cancel the denominator: $$\cancel{5} \times \frac{x}{\cancel{5}} = 3 \times 5$$ $$x = 15$$ 5. **Answer:** The value of $x$ that makes $g(x) = 4$ is $$\boxed{15}$$.