> #mathematics , #functions , #in-mathematic-grade-11 > Let f(x)=3x-4 &g(x)=x^2+3x,then (fog)(-1) is equal to A)10 B)-10 C)28 D-28 ?
Anonymous
Oct 29, 2023

Let f(x)=3x-4 &g(x)=x^2+3x,then (fog)(-1) is equal to A)10 B)-10 C)28 D-28 ?

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Oct 29, 2023
To find (fog)(-1), we need to substitute -1 into g(x) first and then substitute the result into f(x).

Substituting -1 into g(x), we get:
g(-1) = (-1)^2 + 3(-1) = 1 - 3 = -2

Now, substituting -2 into f(x), we get:
f(-2) = 3(-2) - 4 = -6 - 4 = -10

Therefore, (fog)(-1) = -10.

The correct answer is B) -10.
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