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find (f-g)(-1) when f(x)=5x^2-6 and g(x)= x+4

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1 Answer

(f - g)(x) means f(x) - g(x)

(f - g)(x) = 5x2 - 6 - (x + 4)

(f - g)(x) = 5x2 - 6 - x - 4

(f - g)(x) = 5x2 - x - 10


Now we can substitute -1 for x in (f - g)(x)

(f - g)(-1) = 5(-1)2 -(-1) -10

(f - g)(-1) = 5(1) + 1 - 10

(f - g)(-1) = 5 + 1 - 10

(f - g)(-1) = 6 - 10

(f - g)(-1) = -4