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3241004551 [841]
2 years ago
14

Which graph shows a function and its inverse? need help asap

Mathematics
1 answer:
ratelena [41]2 years ago
5 0
I would say b but i’m not 100% sure lol
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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
The Equation (y-y1)=m(x-x1) represents the point-slope form of a linear equation.Which equation can be used to find y1?
trapecia [35]

Answer:

Step-by-step explanation:

The first one

5 0
2 years ago
What is five more than twice a number in algebraic expression
Solnce55 [7]

Answer:

2x+5

Step-by-step explanation:

I'm sorry, but I don't know how to explain this. I hope it helps though.

6 0
3 years ago
Easy question.. giving brainliest<br> x/16 = 10/36<br> x=_
irina [24]

Answer:

x=40/9

Step-by-step explanation:

\frac{x}{16}  =  \frac{10}{36}  |first \: you \: cross \: multiply|  \\ x(36) = 16(10)  |open \: bracket  |  \\ 36x = 160 |divide \: both  \: side \:by \: 36 |  \\  \frac{36x}{36}  =  \frac{160}{36}  \\ x = \frac{40}{9}

6 0
3 years ago
Evaluate.<br><br><br> 17 + 330 • 20 ÷ 102 ÷ 2 – 14
astra-53 [7]
The answer is <span>35.35294</span>
6 0
3 years ago
Read 2 more answers
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