mvola said:Homework Statement
Given f(x) = 1-x
Show that 2f(3x + 1) = -6x
Homework Equations
The Attempt at a Solution
I've tried many approaches, but I seem to be missing something. The latest approach was as follows and did not work.
Divide by 2.
f(3x + 1) = -3x
f(3x) + f(1) = -3x
3f(x) + f(1) = -3x
3(1-x) + 0 = -3x
3 - 3x = -3x
3 = 0 which is obviously not true.
Can anyone help me out with this?
mvola said:Homework Statement
Given f(x) = 1-x
Show that 2f(3x + 1) = -6x
A function is a mathematical concept that relates an input value to an output value. It is a rule or relationship between two quantities, where every input has exactly one output.
There are several types of functions, including linear, quadratic, exponential, trigonometric, and logarithmic functions. Each type has its own unique properties and graphs.
The domain of a function is the set of all possible input values, while the range is the set of all possible output values. To determine the domain, look at the restrictions on the input values, and to determine the range, look at the output values produced by the function.
A function is a relationship between two quantities, while an equation is a statement that two expressions are equal. An equation can be used to represent a function, but not all equations are functions.
Understanding the properties of functions is crucial in many fields of science, including physics, economics, and engineering. Functions help us model and understand real-world phenomena and make predictions based on data. They also serve as building blocks for more complex mathematical concepts.