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Mice21 [21]
3 years ago
12

What is the inverse of the function f(x) = x +3?

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
7 0
F(x) = x + 3
y = x + 3
x = y - 3

Inverse is h(x) = x - 3
NARA [144]3 years ago
6 0

Answer:

Option C is correct that is h(x)=x-3

Step-by-step explanation:

We have been given a function:

f(x)=x=3

\text{let y}=f(x)

y=x+3

x=y-3

Hence,f^{-1}y=y-3

Therefore, f^{-1}x=x-3

Hence, Option C is correct that is h(x)=x-3

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Write an equation in slope-intercept form for the line that is parallel to y=−4x−3 and that passes through the point (−2,4).
kirill115 [55]

Answer:

The Correct option is Last one y=-4x-4

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

Step-by-step explanation:

Given:

y=-4x-3

To Find:

Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3

Solution:

y=-4x-3 ..........Given

Comparing with Slope-Intercept form,  

y=mx+c

Where m =slope  

We get

Slope = m = -4

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

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3 years ago
What is the measure of the angle shown? Will mark brainliest!
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Answer:

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Step-by-step explanation:

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what are the solution(s) to the quadratic equation 9x2 = 4? x = 4/9 and x = -4/9 x = 4/9 and x = -2/3 x = 3/2 and x = -3/2 no re
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To solve for the quadratic equation 9x² = 4, we need to recall that the difference between two square can be expressed as the product of their sum and difference or (a² - b²) = (a + b)(a - b). Thus, we have 9x² = 4 9x² - 4 = 0 (3x)² - (2)² = 0 (3x + 2)(3x - 2) = 0 We now have two linear equations: 3x + 2 = 0 | 3x - 2 = 0 3x = -2 | 3x = 2 x = -2/3 | x = 2/3 Thus, x = +2/3 and -2/3.<span> </span>
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Answer:

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Step-by-step explanation:

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