f(x)=x 2 +5x−5g, of, x, equals, minus, 3, x, minus, 7g(x)=−3x−7Find: , left bracket, f, circle, g, right bracket, left bracket, x, right bracketFind: (f∘g)(x)
Question
f(x)=x 2 +5x−5g, of, x, equals, minus, 3, x, minus, 7g(x)=−3x−7Find: , left bracket, f, circle, g, right bracket, left bracket, x, right bracketFind: (f∘g)(x)
Solution
To find (f∘g)(x), we need to substitute g(x) into f(x).
Given that f(x) = x^2 + 5x - 5 and g(x) = -3x - 7, we substitute g(x) into f(x) as follows:
(f∘g)(x) = f(g(x)) = (-3x - 7)^2 + 5(-3x - 7) - 5
Now, we simplify the equation:
= 9x^2 + 42x + 49 - 15x - 35 - 5
= 9x^2 + 27x + 9
So, (f∘g)(x) = 9x^2 + 27x + 9.
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