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Nana76 [90]
3 years ago
12

If f(a) = b, find f^-1(b)

Mathematics
1 answer:
love history [14]3 years ago
3 0

Answer:

f^1(b)= a

Step-by-step explanation:

To find the inverse function of f(b) or f^1(b), you simply switch the varibles.

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Given the function f(x)=4x^8+7x^7+1x^6+1 What is the value of f(−2)?
qwelly [4]
<span> f(x)=4x^8+7x^7+1x^6+
</span>∴<span> f(-2)=4(-2)^8+7(-2)^7+1(-2)^6+1
</span>∴ <span>f(-2)=(4x256) + (7x-128) + (1x64) +1
</span>∴ <span>f(-2)=1024 - 896 + 64 +1
</span>∴ <span>f(-2)= 193</span>
7 0
3 years ago
Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 StartFraction negative 5 minus StartRoot 13 EndRoot Over 2
boyakko [2]

<u>Given</u>:

The quadratic equation is x^{2}=-5 x-3

We need to determine the solutions of the quadratic equation.

<u>Solution</u>:

Let us solve the equation to determine the value of x.

Adding both sides of the equation by 5x and 3, we get;

x^{2}+5 x+3=0

The solution of the equation can be determined using quadratic formula.

Thus, we get;

x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 1 \cdot 3}}{2 \cdot 1}

x=\frac{-5 \pm \sqrt{25-12}}{2 }

x=\frac{-5 \pm \sqrt{13}}{2 }

Thus, the two roots of the equation are x=\frac{-5 + \sqrt{13}}{2 } and x=\frac{-5- \sqrt{13}}{2 }

Hence, the solutions of the equation are x=\frac{-5 + \sqrt{13}}{2 } and x=\frac{-5- \sqrt{13}}{2 }

6 0
3 years ago
Read 2 more answers
There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags?
dmitriy555 [2]

Answer:

  1020 raisins

Step-by-step explanation:

The problem tells you the number of raisins is proportional to the number of bags, so there will be "r" raisins in 12 bags:

  r/12 = 680/8 = raisins/bag

  r = (12/8)(680) = 1020

There will be 1020 raisins in 12 bags.

6 0
3 years ago
Assignment Mode : Open
krok68 [10]
The answer is 300 divided by 20 which you would get 15.
8 0
2 years ago
Read 2 more answers
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purp
MAVERICK [17]

Answer:

Blue =1\frac{3}{5}

Step-by-step explanation:

Given

Blue = 1\frac{1}{3}

Red = 1\frac{2}{3}

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

Ratio = Blue : Red

When  Blue = 1\frac{1}{3} and  Red = 1\frac{2}{3}

Ratio = 1\frac{1}{3} : 1\frac{2}{3}

When Red = 2

Ratio = Blue : 2

Equate both ratios

Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}

Convert to division

\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}

Convert fractions to improper fraction

\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}

\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}

\frac{Blue}{2} =\frac{4}{5}

Make Blue the subject

Blue =\frac{4}{5}*2

Blue =\frac{8}{5}

Blue =1\frac{3}{5}

4 0
3 years ago
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