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2 years ago

What is the inverse of f(x)=(4x-3)/7

Mathematics

1 answer:

iragen [17]2 years ago

5 0

Answer:

f(x)^-1 = $\frac{1}{28} x + \frac{3}{4}$

Step-by-step explanation:

f(x) = (4x - 3) / 7

y = (4x - 3) / 7

x = (4y - 3) / 7

x / 7 = 4y - 3

x/7 + 3 = 4y

y = $\frac{1}{28} x + \frac{3}{4}$

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Answer:

Solution given:

opposite:9

adjacent: 12

$\theta=?$

Relationship between opposite and adjacent is given by tan angle

$Tan \theta=\frac{opposite} {adjacent}=\frac{9}{12}$

$Tan \theta=\frac{3}{4}$

$\theta=Tan^{-1}\frac{3}{4}$

$\bold{\theta=36.8°}$

#11.

hypotenuse[h]=11cm

opposite/perpendicular[P]=b cm

adjacent/base[b]=a cm

now

$\theta=62°$

Relationship between height and hypotenuse is given by Sin angle

Sin 62°= $\frac{opposite}{hypotenuse}=\frac{b}{11}$

doing crisscrossed multiplication

b=Sin 62°*11

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Relationship between base and hypotenuse is given by Cos angle

:.Cos 62°= $\frac{base}{hypotenuse}=\frac{a}{11}$

doing crisscrossed multiplication

a=Cos 62°×11

a=5.16cm

b) the distance between the foot of the ladder and the building is 5.16cm.

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2 years ago

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77julia77 [94]

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

$y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)$

$y+1=\dfrac{-5+1}{-1}(x-2)$

$y+1=\dfrac{-4}{-1}(x-2)$

$y+1=4(x-2)$

Using distributive property, we get

$y+1=4(x)+4(-2)$

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$y+1-1=4x-8-1$

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Therefore, the correct option is B.

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3 years ago