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3 years ago

U need help ASP .f(x)=1-3X and g (x)=x+4 calculate gf(-2)

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Answer:

gf (-2) = 11

Step-by-step explanation:

$f(x) = 1 - 3x \\ g(x) = x + 4 \\ gf( - 2) = ..$

$gf = .. \\ g(1 - 3x) \\ = 1 - 3x + 4 \\ = - 3x + 5 \\ gf = - 3x + 5$

$gf( - 2) = - 3( - 2) + 5 \\ = 6 + 5 = 11$

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20%2B%2012%20%3D%20x%20%2B%208%20" id="TexFormula1" title=" \sqrt{2x} + 12

Helga [31]

First note that $x\ge0$ ; otherwise $\sqrt{2x}$ is undefined as long as we're only looking for real solutions.

We can write

$\sqrt{2x}+12=x+8$
$\sqrt{2x}=x-4$
$2x=(x-4)^2$
$2x=x^2-8x+16$
$x^2-10x+16=0$
$(x-8)(x-2)=0$

$\implies x=8,x=2$

4 0

3 years ago

Can any1 do my hw pls

Brilliant_brown [7]

I can sure try mate!!! What is it that you need help with?

3 0

3 years ago

There are 12 marbles in a box. 8 are purple, and 4 are green. What is the probability of picking a purple marble and then a gree

Bad White [126]

Answer: 8/33

Step-by-step explanation:

So the probability of picking a purple marble is 8/12, after that there are 11 marbles left in the box

Now the probability of picking a green marble without placing the first marble back is 4/11

So the probability of doing both is 8/12 x 4/11 = 8/33

8 0

1 year ago

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g

kati45 [8]

Answer:

Option: D is correct.

Step-by-step explanation:

since we are given a inequality as:

$y$

Clearly from the graph of the following inequality we could see that the origin is included in the shaded region and the shaded area is below the line.

Also it could be seen that if we put the origin points i.e. (0,0) in the inequality than 0<2 and the condition is true and hence origin is included in the shaded area.

Hence, option D is true.

6 0

3 years ago

I need help with a b c d

Lady_Fox [76]

Answer:

Step-by-step explanation: 2 is the real population

7 0

3 years ago

U need help ASP .f(x)=1-3X and g (x)=x+4 calculate gf(-2)​

U need help ASP .f(x)=1-3X and g (x)=x+4 calculate gf(-2)