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3 years ago

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]

f(x)=4x^8+7x^7+1x^6+
∴ f(-2)=4(-2)^8+7(-2)^7+1(-2)^6+1
∴ f(-2)=(4x256) + (7x-128) + (1x64) +1
∴ f(-2)=1024 - 896 + 64 +1
∴ f(-2)= 193

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]

Given:

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

We need to determine the solutions of the quadratic equation.

Solution:

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