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PSYCHO15rus [73]
3 years ago
13

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box. ƒ -

1(x) = ______ a0 x _____a1 ______ a2 ƒ -1(4) = _______ a3
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0
As you know, to get the inverse of any expression, we start off by switching the variables about and then solving for "y",

\bf \stackrel{f(x)}{y}=\cfrac{1}{2}x+4\qquad \qquad \stackrel{inverse}{\underline{x}=\cfrac{1}{2}\underline{y}+4}\implies x-4=\cfrac{1}{2}y
\\\\\\
2x-8=\stackrel{f^{-1}(x)}{y}
\\\\\\
f^{-1}(4)=2(4)-8\implies f^{-1}(4)=0
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We can use the points (2, -2) and (4, -1) to solve.

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Point slope form: y - y1 = m(x - x1)

y - 2 = -1/2(x + 2)

Solve for y-intercept.

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Q16. Find x^2 + 1/x^2 , if x + 1/x = 3
erica [24]

Answer:

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8 0
2 years ago
A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
lisabon 2012 [21]

Answer:

After 16 rounds the champion of Ping-Pong player can be determined.

Step-by-step explanation:

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\texttt{Common ratio = }\frac{1}{2}

Now we need to find which term is 1 in this GP.

N th term of GP is given by

             t_n=ar^{n-1}

Substituting

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Seventeenth term of this GP is 1.

That is after 16 rounds the champion of Ping-Pong player can be determined.

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3 years ago
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Black_prince [1.1K]
B. 6.72the answer is B 6.72
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3 years ago
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