Question 1065985
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The notation (f o g)(x) is really the same as f(g(x))


So saying (f o g)(4) means we want to compute f(g(4))


First let's plug x = 4 into g(x), which is the inner function.
g(x) = -2x-6
g(4) = -2(4)-6
g(4) = -8-6
g(4) = -14


So f(g(4)) gets updated to f(-14) after we replace the "g(4)" with "-14"


Now let's compute f(-14)
f(x) = 3x-7
f(-14) = 3(-14)-7
f(-14) = -42-7
f(-14) = -49


The final answer is therefore <font color=red>-49</font></font>