The correct answer is f(g(2) = 2.
This is because of the rule regarding the identity of inverse functions. No matter what an inverse function is, when you make a composite function with an original and it's inverse, then end result is always that y = x. Therefore, no matter what we put in for x (in this case 2), we get out for y.
Answer:
y = 2x - 5
Step-by-step explanation:
Slope intercept form: y = mx + c
3y - 6x = -15
3y = 6x - 15
9514 1404 393
Answer:
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
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<u>First line</u>:
m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0
The slope of the first line is zero.
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<u>Second line</u>:
m = (-5-1)/(4 -4) = -6/0 = undefined
The slope of the second line is undefined.
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It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.
Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.
Rearrange the equation to standard form of a quadratic equation (ax^2+bx+c=0) by switching sides: 5x^2+2x-12=0. Now, use the quadratic equation formula to solve. You should come out with x_1=sqrt61-1/5 and x_2=-1+sqrt61/5. Thus, your answer is B, or two solutions.