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valentinak56 [21]
2 years ago
10

Inverse fraction of f(x)=2x+1

Mathematics
1 answer:
Akimi4 [234]2 years ago
6 0

Answer:

f^{-1}(x) = \frac{x-1}{2}

Step-by-step explanation:

let f(x) = y, then y = 2x + 1

rearrange, making x the subject

subtract 1 from both sides

y - 1 = 2x ( divide both sides by 2 )

x = \frac{y-1}{2}

change y back into terms of x

f^{-1}(x) = \frac{x-1}{2}


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Find the roots of f(x)=x^2+10x−96
a_sh-v [17]

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0  or  x - 6 = 0

x = -16 or x = 6

6 0
2 years ago
1)Alexpleyadefn
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Answer:

Step-by-step explanation:

answer to the question:

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2 years ago
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Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football
Ronch [10]

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

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  Soccer             9             19             28

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   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

P(F|G)=\frac{n(G\cap F)}{n(G)}

            =\frac{7}{56}\\\\=0.125\\\\=12.5\%

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

6 0
3 years ago
Can someone pls help me??
frutty [35]
The second part would be $700. I'm not sure how I would solve the first part. You should click the hint button.<span />
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The points (4,t) and (5,
aleksley [76]

Answer:

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Here is a different example.

'm' is the gradient (or slope). We measure the difference between the two x values and two y values to see how each of them changed respectively. We know m = rise/run so we can put in our slope (7) and points to find t.

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