The value of (fg)(x)= 3x³+ x²
<h3>What is function?</h3>An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
f(x) = -3x+1
g(x) =
Now, (fg)(x)
=f(x) * g(x)
= (-3x+1) * ()
=-3x³+ x²
Hence, (fg)(x)= 3x³+ x²
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To solve correctly, graph both inequalities. The solution is where they overlap. <em>See attachment for graph. </em>Which coordinate is plotted in the overlapping section?
If you don't have the tools to graph them, then plug each coordinate into both inequalities. The coordinate that makes a true statement for BOTH inequalities, is the answer.
(0, 4): 4 > -2 TRUE 0 + 4 < 4 FALSE
(-3, 5): 5 > -2 TRUE -3 + 5 < 4 TRUE THIS IS THE ANSWER!
(1, 4): 4 > -2 TRUE 1 + 4 < 4 FALSE
(-2, -3): -3 > -2 FALSE
Answer: (-3, 5)
