F(x) = x(2 - x)
g(x) = 3x
Substitute 3x for x in the function f(x)
h(x) = f(x) <span>∘ g(x) = f(g(x)) = 3x(2 - 3x)
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You're given the y-intercept, which is (0,5), so to complete the slope intercept form, you now need to find the slope. slope is the change in y over the change in x, so take points (4,-1) and (2,2) for instance and apply the formula; -1-2= -3 and 4-2=2, so the change in y is -3 and the change in x is 2. to find the slope, you divide change in y by change in x, which is -3/2. from here, you can gather that the slope intercept form is y= -3/2x + 5
<span>If you are given a mean and asked for one of the data values, you can still use the basic method for determining the mean, but work backwards. Generally we add up all the values and then divide by the number of values. In this case, working backwards, we multiply by the number of values (instead of dividing) and then subtract (instead of adding). You should be left with a data value from the set. </span>
