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nignag [31]
3 years ago
6

If f(x)= -8x+4, then f^-1(x)=

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Answer:

f^{-1}(x) = \frac{4-x}{8}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = - 8x + 4 ( add 8x to both sides )

8x + y = 4 ( subtract y from both sides )

8x = 4 - y ( divide both sides by 8 )

x = \frac{4-y}{8}

Change y back into terms of x

f^{-1}(x) = \frac{4-x}{8}

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So the asnwer is

-5 < -1

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7 0
3 years ago
Read 2 more answers
Find the value of k for which the matrix A = [2 -5 9 -1 3 -5 7 1 k] has rank 2. k = _________.
chubhunter [2.5K]

Answer:

k = 13

Step-by-step explanation:

Matrix is;

A =

[2 -5 9]

[-1 3 -5]

[ 7 1 k ]

Number of unknowns is less than the rank of 2. Thus, the determinant has to be zero for us to find k.

Thus, we have;

2((3 × k) - (-5 × 1)) -(-5)((-1 × k) - (-5 × 7)) + 9((-1 × 1) - (7 × 3)) = 0

Simplifying further gives;

2(3k +5) + 5(-k + 35) + 9(-22) = 0

6k + 10 - 5k + 175 - 198 = 0

k - 198 + 185 = 0

k - 13 = 0

k = 13

5 0
3 years ago
Jenny and her sister bought matching shirts that cost $12. They each also purchased a pair of shoes that cost the same amount. I
victus00 [196]

Answer:

Each pair of shoes cost 26$

Step-by-step explanation:

<em>find the total cost for shirts</em>

2 shirts * 12$ each

2 * 12 = 24

they spent 24$ on shirts

<em>create an equation</em>

24$ shirts + x$ shoes = 76$

24 + x = 76

<em>subtract 24 from both sides of the equation</em>

24 + x - 24 = 76 - 24

x = 76 - 24

x = 52

they bought 2 pairs of shoes that cost the same amount

52 = x + x

52 = 2x

<em>divide both sides of the equation</em>

52/2 = 2x/2

52/2 = x

26 = x

each pair of shoes cost 26$

6 0
3 years ago
4. Do the rectangle and parallelogram below have the same area? Explain why or why not.
-BARSIC- [3]

Answer:

yeyeyeyeyyeyeyeabcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

8 0
4 years ago
Spins a fair spinner numbered 1 - 5 and flips a fair coin. What is the probability of obtaining a factor of 15 and a tail?
Lesechka [4]

Answer: \dfrac{3}{10}

Step-by-step explanation:

Let A be the event of getting a factor of 15 when a fair spinner numbered 1 - 5 spins and B be the event that a fair coin is tossed.

The factors of 15 = 1,\ 3,\ 5

Then ,the probability of obtaining a factor of 15 is given by :-

P(A)=\dfrac{3}{5}

The probability of getting a tail :-

P(B)=\dfrac{1}{2}

Since both the events are independent , thus

The probability of obtaining a factor of 15 and a tail is given by :-

P(A)\times P(B)\\\\=\dfrac{3}{5}\times\dfrac{1}{2}=\dfrac{3}{10}

Hence, the required probability : \dfrac{3}{10}

4 0
3 years ago
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