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Let f(x) = - 3x – 1 and g(x) = x^2 – 3.

Find (fog)(-1).
Then (fog)( - 1)= (Simplify your answer.)

1 Answer

4 votes

Given:

f(x) = 5x² - x + 1

g(x) = -3x

Let's determine (f o g)(1),

(f o g)(1) = f(g(1))

Step 1: Let's determine g(1).


\text{ }g\mleft(x\mright)=-3x
g\mleft(1\mright)=-3(1)\text{ = -3}

Step 2: Substitute g(1) as x in f(x).


f\mleft(x\mright)=5x^2-x+1
\mleft(f\circ g\mright)\mleft(1\mright)=f\mleft(g\mleft(1\mright)\mright)=5(-3)^2\text{ - (-3) + 1}
=5(9)\text{ + 3 + 1}
=45\text{ + 4}
\text{ }(f\circ g)(1)=\text{ 49}

Therefore, the answer is letter A. (f o g)(1) = 49

User Suzon
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