F(x) = x^2 + 24x + 138
f(x) = x^2 + 24x + (24/2)^2 + 138 - (24/2)^2
f(x) = (x+12)^2 - 6
The piecewise-defined function with linear parts f(x)= |2x + 9|
f(x) = {2x + 9 x ≥ -9/2)
{-2x - 9 x < 9/2}
<h3>How to write piecewise functions?</h3>
To write this function as a piecewise function, you have to use the definition of absolute value.
The absolute value equation is; f(x)= |2x + 9|
The definition says that;
|x| = {x x ≥ 0)
{-x x < 0}
Applying this definition to the function you get:
|2x + 9| = {2x + 9 2x + 9 ≥ 0)
{-2x - 9 2x + 9 < 0}
After simplifying the inequalities you get:
|2x + 9| = {2x + 9 x ≥ -9/2)
{-2x - 9 x < 9/2}
So finally you can write the piecewise function as:
f(x) = {2x + 9 x ≥ -9/2)
{-2x - 9 x < 9/2}
Read more about piecewise function at; brainly.com/question/18499561
#SPJ1
A2 + B2 = C2
A2 + 484 = 1024
A2 = 540
540 squared = 23.24
A = 23.24
Answer:
The answer is C
Step-by-step explanation:
<em>(i-j) - (2i - 3j) = -i - 4j</em>
