To find f(g(x)), plug g(x) into f(x) and simplify.

f(x/2) = 2 - 1/(x/2)

All you have to do is simplify the right side of the equation.

Take it from here.

8 0

2 years ago

Khan Academy

zvonat [6]

Part 1

Answer: -9

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Explanation:

Let's focus on evaluating first. We need to look at the table and locate f(x) = 13. So we're looking in the f(x) row where 13 shows up. That's in the second to last column. Right above that we have x = 5

This means f(5) = 13 and The inverse undoes the f(x) function. So the input x and output y values swap places. This is why we're reading the table in reverse.

We can replace all of $f^{-1}$ $(13)$ with 5 to go from $f^{-1} (f^{-1} (13))$ to $f^{-1} (5)$

Then we repeat the process of using the table. Locate 5 in the f(x) row. This is in the last column. The value above that is x = -9.

So f(-9) = 5 and $f^{-1} (5)=-9$

Overall, $f^{-1} (f^{-1} (13))=-9$

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Part 2

Answer: -13

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Explanation:

Same idea as before. Locate 8 in the f(x) row. The value above this is x = -13

This means f(-13) = 8 and $f^{-1}(8) =-13$

7 0

2 years ago

Laurie and maya sold at most $50 worth of get-well and friendship cards

Oduvanchick [21]

Answer:

The answer is 50$ lol

Step-by-step explanation: I dunno what the question is

8 0

3 years ago

Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).

REY [17]

Answer:
(-2,5)

Explanation:
We are given the following translation rule:
(x,y) .............> (x-3 , y+4)
This means that:
new x coordinate can be found by subtracting 3 from the old x coordinate
new y coordinate can be found by adding 4 to the old y coordinate

From the figure, we can note that the coordinates of point A are (1,1).

Applying the above translation rule, we can get the coordinates of A' as follows:
x coordinate of A' = x coordinate of A - 3
x coordinate of A' = 1 - 3 = -2

y coordinate of A' = y coordinate of A + 4
y coordinate of A' = 1 + 4 = 5

Based on the above, the coordinates of A' would be (-2,5)

Hope this helps :)

7 0

2 years ago

Read 2 more answers

Find the value of X if H is the midpoint of JG, GJ equals 4X -6 and GH equals 27￼.

Find the value of X if H is the midpoint of JG, GJ equals 4X -6 and GH equals 27.