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irina1246 [14]
3 years ago
15

Can somebody help me out i’m struggling really badly

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0
The answer would be y = -4/7x + 2
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Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)
finlep [7]
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

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

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

5 0
3 years ago
Calculate the total population increase of South Africa from 2001 Difference You may use the following formula: Increase = 2001
gayaneshka [121]
Ccd is good to see ur message and he is so fine lol i just got home lol he is fine with it too but i is good too but he is
7 0
3 years ago
Which number is prime?<br> 63 <br> 51 <br> 61 <br> 57
kondor19780726 [428]
Hey there!

No numbers go into a prime number other than one and that number. 9 and 7 go into 63, so it’s not 63. 3 and 17 go into 51, so it’s not 51. 19 and 3 go into 57, so it’s not 57. That leaves 61. Nothing goes into this other than one and 61, so the answer is 61.

I hope this helps!
7 0
3 years ago
Solve the equation -2(m-30)=-6m
Sergio039 [100]

Answer:

m=-15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. m=-15

7 0
3 years ago
Which expression is equivalent to the following complex fraction? <br><br>(pls help me out)​
const2013 [10]

Answer:

B. \frac{-4x + 7}{2(x - 2)}

Step-by-step explanation:

Simplify the given expression to determine its equivalent expression in the given options.

\frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}}

\frac{\frac{3}{x - 1} - \frac{4}{1}}{\frac{2}{1} - \frac{2}{x - 1}}

\frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}}

\frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}}

\frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}}

\frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4}

(x - 1) cancels (x - 1)

\frac{-4x + 7}{1} * \frac{1}{2x - 4}

\frac{(-4x + 7)1}{1(2x - 4)}

\frac{-4x + 7}{2x - 4}

\frac{-4x + 7}{2(x - 2)}

3 0
3 years ago
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