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Dimas [21]
3 years ago
12

Find the inverse of the function f(x) = 4x – 2.Then graph the function and its inverse.​

Mathematics
1 answer:
NemiM [27]3 years ago
7 0

Answer:

Y = 1/4x + 1/2

Step-by-step explanation:

The inverse is found by reflecting the graph across the y=x line. In the equation, this result by switching x and y then solving for y.

Y =4x-2

X=4y-2

X+2=4y

(X+2)/4= y

1/4x +1/2 =y

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Option A

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<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

3x + 6y = 1 ------ eqn 1

x - 4y = 1 ------ eqn 2

We have to find solution to system of equations

We can use substitution method

From eqn 2,

x = 1 + 4y -------- eqn 3

Substitute eqn 3 in eqn 1

3(1 + 4y) + 6y = 1

3 + 12y + 6y = 1

18y = 1 - 3

18y = -2

Divide both sides by 18

y = \frac{-2}{18}\\\\y = \frac{-1}{4}

Substitute the above value of y in eqn 3

x = 1 + 4 \times \frac{-1}{4}\\\\x = 1-1\\\\x = 0

Thus solution is (0, \frac{-1}{4})

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5 0
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sp2606 [1]
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