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iren [92.7K]
3 years ago
13

Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

The y-intercept is -1

The x-intercept is 4.5

Step-by-step explanation:

We have the following equation:

f(x) = log(2x+1) - 1

The y intercept is the value of f(x) when x is equal to 0, so replacing x by 0 and solving for f(x), we get:

f(0) = log(2*0 + 1 ) -1

f(0) = log(1) - 1

f(0) = 0 - 1 = -1

Additionally, the x-intercept is the value of x when f(x) is equal to 0. So, replacing f(x) by 0 and solving for x, we get:

0 = log(2x + 1) - 1\\1 = log(2x + 1)\\10^1=10^{log(2x + 1)}\\10 = 2x + 1\\10 - 1 = 2x\\4.5 = x

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Find inverse for Y=2x-7
dalvyx [7]

Answer:

The inverse function is f(x) = (x + 7)/2

Step-by-step explanation:

To find the inverse of any function, start by switching the x and f(x) values.

f(x) = 2x -7

x = 2f(x) - 7

Now solve for the new f(x). The result will be your inverse function.

x = 2f(x) - 7

x + 7 = 2f(x)

(x + 7)/2 = f(x)

6 0
3 years ago
How to solve for -3x squared + 2y squared + 5xy - 2y + 5x squared - 3y squared when x = 0.5 and y = -1/10??
Pani-rosa [81]

Answer:

0.44

Step-by-step explanation:

-3x^2 + 2y^2 + 5xy - 2y +5x^2 - 3y^2

Combine like terms

-3x^2 + 5x^2 = 2x^2 2y^2 - 3y^2 = -1y^2

2x^2 - 1y^2 + 5xy - 2y

Now plug in the solutions Note: it is easier if you have all decimals or all fractions (-1/10=-.1

2(0.5)^2 - 1(-0.1)^2 + 5(0.5)(-0.1) - 2(-0.1)

Simplify:

0.5 - 0.01 - 0.25 + 0.2

0.5 + 0.2 - 0.01 - 0.25

0.7 - 0.26

0.44

5 0
3 years ago
Is (-3,0)a solution to the equation 2x+6y=-6?
sineoko [7]

Answer:

Yes

Step-by-step explanation:

 x , y

(-3 , 0)

plug in the numbers

2(-3) + 6(0) = -6    

-6 = -6

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2 years ago
In slope-intercept form, what is the equation of the line passing through the points
Murljashka [212]

Answer:

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Step-by-step explanation:

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1-4) What is the point of intersection?
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Answer:

Step-by-step explanation:

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