When g(x) and f(x) are inverse functions, the graph that represents g(x) is the second graph.
<h3>How to explain the graph?</h3>
It should be noted that the first graph shows the radical expression where, f(x) = ✓x.
In order to find the inverse, we need to replace f(x) with y and switch the x. This will be:
x = ✓y
(✓y)² = x².
y = g(x) = x²
Therefore, the graph that shows the exponential growth is the second graph.
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Answer:
48
Step-by-step explanation:
Answer:
x = -2
x= -3
Step-by-step explanation:
x 2+5x+6=0
To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=5
ab=6
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.
1,6
2,3
Calculate the sum for each pair.
1+6=7
2+3=5
The solution is the pair that gives sum 5.
a=2
b=3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x+2)(x+3)
To find equation solutions, solve x+2=0 and x+3=0.
x=−2
x=−3
Answer: (6,16)
(6,2)
(-2,8)
(14,8)
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