Trying using photo math or on google there is actually a slope calculator called functions calculator in stupid sorry for not answering it lol
Answer:
y=6.2 and x=0.4 or (0.4,6.2)
Step-by-step explanation:
Since both expressions are equal to y, we can set them equal to each other and solve for x:
3x+5=8x+3
5=5x+3
2=5x
2/5=x
0.4=x
Now to solve y:
y=8(2/5)+3
y=16/5+3
y=3.2+3
y=6.2
Check answers:
6.2=3(0.4)+5
6.2=1.2+5
6.2=6.2
6.2=8(0.4)+3
6.2=3.2+3
6.2=6.2
Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair
The answer is -8
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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
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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
The answer is A! Hope you have a nice day <3
