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Social ScienceFind the indicated difference quotient and simplify your answer.f (x) = x 3 +3x, f (x +h)− f (x) /h , h does not equal 0 f (x) = 1 /x2 , g (x)− g (3) /x −3 , x does not equal 3.f (t) = 1 / t −2 , f (t)− f (1)/ t −1 , t does not equal 1.
Find the indicated difference quotient and simplify your answer.
f (x) = x 3 +3x, f (x +h)− f (x) /h , h does not equal 0
f (x) = 1 /x2 , g (x)− g (3) /x −3 , x does not equal 3.
f (t) = 1 / t −2 , f (t)− f (1)/ t −1 , t does not equal 1.
Expert Answer
Using given f(x) first find f(x+h).
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f(x) x 3x f(xh) (xh)3 +3(x+h) f(xh)x 3x h+3xh +h +3x+3h
Plugged the expression of f(x) and f(x+h) in the difference quotient and simplified. [h does not equal 0]
Answer: 3x^2+3xh+h^2+3
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f(x+h)-f(x) h (x3 +3xh+3xh +h'+3x+ 3h)-(x +3x) 3x2h+3xhh3h h h(3x2 3xh h3) h = 3x2 +3xh+h 3
Using given g(x) fir...
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1 g(x) x 1 g(3) 32 1 g(3) 9
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