Help me solve this equation 2/3 + 4 equals -2

Mathematics

1 answer:

gizmo_the_mogwai [7]4 years ago

5 0

Answer:

Step-by-step explanation:so you want to start by putting 2/3+4 together to get 4 2/3 and then divide it by -2

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What represents the inverse of the function f(x)=4x

Yuki888 [10]

Answer:

$\frac{x}{4}$

Step-by-step explanation:

The given function is

f(x) = 4x

As we know

f(x) = y, which implies x= $f^{-1} (y)$

Therefore,

y = 4x

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

as x= $f^{-1} (y)$

So,

$f^{-1} (y) = \frac{y}{4}$

replacing y by x in the above expression

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

So our inverse function is $\frac{x}{4}$

4 0

3 years ago

Kindly solve this question 6 too !!

Shkiper50 [21]

Answer:

$x=1$

Step-by-step explanation:

$~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1$