Math Problem Statement
Given g, of, x, equals, minus, 5, x, plus, 5g(x)=−5x+5, solve for xx when g, of, x, equals, 0g(x)=0.
Solution
To solve for when in the function , follow these steps:
-
Set to 0, as given:
-
Solve for by isolating it on one side:
-
Divide both sides by -5:
Thus, the solution is:
Would you like further details on this solution, or do you have additional questions?
Here are some related questions for further practice:
- What would be the value of if ?
- If , how does the value of change when with different values of ?
- How would the solution change if the equation were ?
- What is the slope of the function , and how does it affect the solution?
- How does shifting the function vertically impact the point where ?
Tip: When solving linear equations, isolate the variable by performing inverse operations in the correct sequence (addition/subtraction, then multiplication/division).
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Standard form of a linear equation: ax + b = 0
Theorems
Basic principles of solving linear equations
Suitable Grade Level
Grades 6-8