The function f(x) = 2x - 6 has a zero of 3.
To find the zero of the function
f(x)=2x−6, we set
f(x) to zero and solve for
f(x)=2x−6
Setting f(x) to zero:
0=2x−6
To isolate x, add 6 to both sides of the equation:
0+6=2x−6+6
6=2x
Now, divide both sides by 2 to solve for x:
=
x=3
Therefore, the solution to f(x)=0 is x=3.
This means that 3 is the zero of the function, representing the value of x for which f(x) equals zero.
Substituting x=3 back into the original function verifies this:
f(3)=2(3)−6=6−6=0
Hence, x=3 satisfies the equation
f(x)=0, confirming that 3 is indeed a zero of the function
f(x)=2x−6.
Question
Which is a zero of the function f(x)=2x−6 ?