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Given f(x)=4x-5 and g(x)=x^2+4 Find: a. (f°g)(x) b.(g°f)(x)​

Sagot :

✏️COORDINATES

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B. Find three solutions for the linear equation 4x - 3y = 1, and plot the solutions as points on a coordinate plane.

Solution for x

4x - 3y = 14x−3y=1

4x = 1 + 3y4x=1+3y

\begin{gathered} x = \frac{1 + 3y}{4} \\ \end{gathered}

x=

4

1+3y

Solution for y

4x - 3y = 14x−3y=1

\text-3y= 1 - 4x-3y=1−4x

\begin{gathered} y = \text- \frac{\text-1 + 4x}{3} \\ \end{gathered}

y=-

3

-1+4x

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Solutions for column x

" y = 1 "

\begin{gathered} x = \frac{1 + 3(1)}{4} \\ \end{gathered}

x=

4

1+3(1)

\begin{gathered} x = \frac{1 + 3}{4} \\ \end{gathered}

x=

4

1+3

\begin{gathered} x = \frac{4}{4} \\ \end{gathered}

x=

4

4

x = 1x=1

\:

" y = 5 "

\begin{gathered} x = \frac{1 + 3(5)}{4} \\ \end{gathered}

x=

4

1+3(5)

\begin{gathered} x = \frac{1 + 15}{4} \\ \end{gathered}

x=

4

1+15

\begin{gathered} x = \frac{16}{4} \\ \end{gathered}

x=

4

16

x = 4x=4

\:

" y = 9 "

\begin{gathered} x = \frac{1 + 3(\text9)}{4} \\ \end{gathered}

x=

4

1+3(9)

\begin{gathered} x = \frac{1 + 27}{4} \\ \end{gathered}

x=

4

1+27

\begin{gathered} x = \frac{28}{4} \\ \end{gathered}

x=

4

28

x = 7x=7

\:

Solutions for column y

" x = 1 "

\begin{gathered} y = \text- \frac{1 - 4(1)}{3} \\ \end{gathered}

y=-

3

1−4(1)

\begin{gathered} y = \text- \frac{1 - 4}{3} \\ \end{gathered}

y=-

3

1−4

\begin{gathered} y = \text- \frac{\text-3}{3} \\ \end{gathered}

y=-

3

-3

y = 1y=1

\:

" x = 4 "

\begin{gathered} y = \text- \frac{1 - 4(4)}{3} \\ \end{gathered}

y=-

3

1−4(4)

\begin{gathered} y = \text- \frac{1 - 16}{3} \\ \end{gathered}

y=-

3

1−16

\begin{gathered} y = \text- \frac{\text-15}{3} \\ \end{gathered}

y=-

3

-15

y = 5y=5

\:

" x = 7 "

\begin{gathered} y = \text- \frac{1 - 4(7)}{3} \\ \end{gathered}

y=-

3

1−4(7)

\begin{gathered} y = \text- \frac{1 - 28}{3} \\ \end{gathered}

y=-

3

1−28

\begin{gathered} y = \text- \frac{\text-27}{3} \\ \end{gathered}

y=-

3

-27

y = 9y=9

Column (x, y)

x = 1, \, y = 1 \quad \large(1, \, 1)x=1,y=1(1,1)

x = 4, \, y = 5 \quad \large(4, \, 5)x=4,y=5(4,5)

x = 7, \, y = 9 \quad \large(7, \, 9)x=7,y=9(7,9)

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