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4 years ago

Need help ASP. find the inverse function of f(x)=3x-4

Mathematics

2 answers:

Nataly_w [17]4 years ago

7 0

Answer:

f (x) = 1

substitute 1 for x

f (1) = 3 (1) - 4

= 3 - 4

= -1

Yakvenalex [24]4 years ago

4 0

Answer:

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

Step-by-step explanation:

Let f(x) =y

y= 3x-4

[interchanging variables]

x=3y-4

[making y the subject]

3y=x+4

Therefore the inverse of the function is

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

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3 years ago

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A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x

vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

$A=LW$

we have

$L=18\ m\\W=12\ m$

substitute

$A=18(12)=216\ m^2$

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

$L=(18+2x)\ m\\W=(12+2x)\ m$

substitute

$A=(18+2x)(12+2x)$

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

$A=(18+2x)(12+2x)-216$

step 4

Find the value of x if the area of the walkway equal the area of the pool

$(18+2x)(12+2x)-216=216$

Solve for x

$(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0$

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

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4 years ago

Write a inequality for the graph below

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Answer:

X ≥ -6

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3 years ago

Need help ASP. find the inverse function of f(x)=3x-4​

Need help ASP. find the inverse function of f(x)=3x-4