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Answer:
x=2
Step-by-step explanation:
We must equate f(x)=g(x) ;
x+3=2x^2-3
2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:
x=2, x=-1.5
Since -1.5 is not seen in the table, we consider the value 2.
At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.
Answer:
x = 2
Step-by-step explanation:
Given:
f(x) = |x| + 3
g(x) = 2x² - 3
From inspection of the table, the equation f(x) = g(x) has a solution when
x = 2 as this is the only value of x when the two functions have the same value of 5.
See attached graph for proof. The points of intersection are the solutions: (-2, 5) and (2, 5). (Since x = -2 is not in the given table, this is not included in the answer to this question).