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Rzqust [24]
3 years ago
14

Which of the following statements have the same result? Explain each step in solving each one.. .

Mathematics
1 answer:
Andru [333]3 years ago
3 0

Answer:

None, because 11\neq 9.5\neq 8.

Step-by-step explanation:

I. When f(x)=3x+2, then

f(3)=3\cdot 3+2=9+2=11.

II. Find the inverse function f^{-1}(x) for the function f(x)=\dfrac{2x-7}{3}.

y=\dfrac{2x-7}{3},\\ \\3y=2x-7,\\ \\2x=3y+7,\\ \\x=\dfrac{3y+7}{2},\\ \\f^{-1}(x)=\dfrac{3x+7}{2}.

Thus,

f^{-1}(4)=\dfrac{3\cdot 4+7}{2}=\dfrac{12+7}{2}=\dfrac{19}{2}=9.5.

III. Solve the equation 2y+14=4y-2:

14+2=4y-2y,\\ \\16=2y,\\ \\y=16:2=8.

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