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3 years ago

Would it be 6x-3 or 6x^2-3? Composite function

Mathematics

1 answer:

dangina [55]3 years ago

6 0

g(x) = 3x

g(x) = 3( x )

g( f(x) ) = 3( f(x) ) ... replace every x with f(x)

g( f(x) ) = 3( 2x-1 ) .... plug in f(x) = 2x-1

g( f(x) ) = 3( 2x) + 3( -1 ) ... distribute

g( f(x) ) = 6x - 3

You are correct in saying D is the answer

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Can someone help me with this question? I seem to be getting a negative answer every time :(

NeX [460]

Substitute 4 for y. Then -3x^2 + 16 = 52.

Solve for x. Subtract 16 from both sides, obtaining -3x^2 = 36.

Divide both sides by -3, obtaining x^2 = -12. This last result makes no sense, as no square of a real number could be negative. Probably this is where you're ":getting a negative answer."

If imaginary answers were allowed, then x = i*√12 = i*2√3 or x = -i*2√3.

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8 0

3 years ago

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Coefficient of x^2 in the expansion of (x-3)^3

Mila [183]

Answer:

$-9$

Step-by-step explanation:

$(x-3)(x-3)(x-3)$

$(x^2-6x+9)(x-3)$

$x^3-9x^2+27x-27$

Therefore, the coefficient of $x^2$ is $-9$ .

7 0

3 years ago

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Please help Estimate the sum. 1.37+0.9 is between what?

mestny [16]

Step-by-step explanation:

first we need to round 1.37 which you get 1.35 then round 0.9 to 1.0 then add them both which you get 2.35

7 0

4 years ago

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I need help<br>22 - 3b = 7

skelet666 [1.2K]

I hope this helps you

22-7=3b

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6 0

4 years ago

Paul purchased a used vehicle that depreciates under a straight-line method.

netineya [11]

Answer:

Option B. $900

Step-by-step explanation:

Let

y ----> the value of the car

x ----> the time in years

we know that

The linear function in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the depreciation rate

b is the y-intercept or initial value of the car

we have

The y-intercept or initial value is equal to

$b=\$5,000$

$y=mx+5,000$

we have the ordered pair (5,500)

substitute the value of x and the value of y of the ordered pair in the linear equation and solve for m

$500=m(5)+5,000$

$5m=500-5,000\\5m=-4,500\\m=-\$900\ per\ year$

Is negative because is a decreasing function

The linear equation is equal to

$y=-900x+5,000$

therefore

It would depreciate $900 each year.

4 0

4 years ago