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Leviafan [203]
3 years ago
10

Use f(x)=(2x+1)/(3x-2) and g(x)=5x-1 to find (gof)(x)

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:

From the functions f(x) and g(x) we have (g\circ f)(x)=\frac{7(x+1)}{3x-2}

Step-by-step explanation:

Given that the functions f is defined by f(x)=\frac{2x+1}{3x-2}

and g is g(x)=5x-1

To find the (g\circ f)(x) :

(g\circ f)(x)=g(f(x))

=g(\frac{2x+1}{3x-2})

=5(\frac{2x+1}{3x-2})-1

=\frac{10x+5}{3x-2}-1

=\frac{10x+5-1(3x-2)}{3x-2} ( by using the distributive property )

=\frac{10x+5-3x+2}{3x-2}

=\frac{7x+7}{3x-2} ( adding the like terms )

=\frac{7(x+1)}{3x-2}

Therefore (g\circ f)(x)=\frac{7(x+1)}{3x-2}.

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Calculate the perimeter of a rectangle which is 11 metres long and 4 metres wide
mote1985 [20]
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3 0
3 years ago
Please help im stuck on this question​
FrozenT [24]

Answer:

A

Step-by-step explanation:

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3 0
2 years ago
Given that the value of b can never be equal to -1, determine if the equations are intersecting, parallel, or coincident.
eimsori [14]
<h3>Answer: A) intersecting</h3>

-----------------------------------------------

Work Shown:

Solve the first equation for y

x+y = ab

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slope = -1, y intercept = ab

-----------

Solve for y in the second equation

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bx-a = y

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Slope = b, y intercept = -a

-----------

The first equation has a slope of -1. The second equation has a slope of b.

Since b cannot equal -1, this means the two equations have different slopes. It is impossible for these two lines to be parallel, because parallel lines have equal slopes. The different slope values tell us the lines cross at exactly one point.

7 0
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How do you determine which variable to substitute in for?
stira [4]

Answer:

Substituting for a Variable

If you know the value that the variable is equal to, you can substitute that value in for the variable in the expression! Let's look at an example. Since we know that x=5, we can directly substitute or replace the x in the expression x+3 with a 5 to solve for y!

Step-by-step explanation:

I hope this kinda helps

7 0
3 years ago
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