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Using linear and composite functions, it is found that the x-intercept of g(h(x)) is , given by option B.
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The equation of a line is:
In which:
- m is the slope.
- b is the y-intercept.
Function g:
- Two of the points are (-6,16) and (-4,10).
- The slope is given by <u>change in y divided by change in x</u>, thus:
Thus:
Point (-4,10) means that when , and we use this to find b, so:
Then
Function h:
- Two of the points are (-6,-11) and (-4,-7).
- The slope is:
Thus:
Point (-4,-7) means that when , and we use this to find b, so:
Then
The composite function is:
The x-intercept it the zero of the function, thus:
Which is option B.
A similar problem is given at brainly.com/question/21010520