Question 106·Easy·Linear Functions
If , what is the value of ?
(Express the answer as an integer)
For function-notation questions like this, always translate as "take the rule for and plug in ". Rewrite the expression with the number in parentheses substituted for , then simplify carefully using order of operations—do any multiplication first, then addition or subtraction—watching signs so you don't accidentally add when you should subtract.
Hints
Interpret the notation
means you should use the rule and replace with everywhere it appears.
Set up the substituted expression
Write the expression for by plugging in for in . What do you get?
Simplify step by step
First do the multiplication with and , then apply the . Be careful with the order of operations.
Desmos Guide
Enter the function
In Desmos, type f(x)=4x-6 to define the function.
Evaluate the function at 5
On a new line, type f(5) and look at the numerical output that Desmos gives; that value is the answer to the question.
Step-by-step Explanation
Understand what means
The function is defined as . The notation means "take the expression for and replace with ."
Substitute into the expression
Start with and plug in :
Do the multiplication and subtraction
First multiply :
Now subtract :
So the value of is .