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g100num [7]
2 years ago
14

If f(x) = 3x-2 and g(x) = x+²,

Mathematics
1 answer:
ser-zykov [4K]2 years ago
8 0

Answer:

x

Step-by-step explanation:

f(g(x)) = 3(\frac{x+2}{3} )-2\\= x + 2 - 2\\= x

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How do you solve an equation with Fractions?<br><br> Ex. 1/2(7x + 48)<br> Ex. -(1/2 x -3)+4(x + 5)
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3 years ago
Decompose x^2+4x-3/x-2​
mariarad [96]

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\dfrac{x^3-2x^2+4x-3}{x-2}

Step-by-step explanation:

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x^2+\dfrac{4x-3}{x-2}\\\\=\dfrac{x^2(x-2)+4x-3}{x-2}\\\\=\dfrac{x^3-2x^2+4x-3}{x-2}

So, \dfrac{x^3-2x^2+4x-3}{x-2} is the decomposed form of the given expression.

5 0
3 years ago
The endpoints of directed line segment PQ have coordinates of P(-7, -5) and Q(5,3). What are the coordinates of point A, on PQ,t
Kamila [148]

Answer:

Therefore the co-ordinate of the point A is (-4,-3)

Step-by-step explanation:

If A(x₁,y₁) and B(x₂,y₂)  is divided by a point in ration m:n internally.

Then the co-ordinate of the point is  (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_2}{m+n}).

Given two points are P(-7,-5) and Q(5,3).

A point A on PQ, that divides PQ into a ratio of 1:3.

Since the point A lies on the PQ.

Therefore it divides the line segment PQ internally.

Here x₁= -7,y₁= -5 ,  x₂= 5,y₂ =3, m=1,n=3

Therefore the co-ordinate of the point A is

(\frac{5.1+(-7).3}{1+3},\frac{3.1+(-5).3}{1+3})

=(\frac{-16}{4},\frac{-12}{4})

=(-4,-3)

6 0
3 years ago
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