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Feliz [49]
3 years ago
7

What happens to the function f(x)=(x−1)2+1 when it becomes f′(x)=(13x−1)2+1?

Mathematics
1 answer:
lesya [120]3 years ago
3 0
I think the answer is the last one
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For f(x) = 5x + 1
drek231 [11]

Answer:

A. f(7) = 5(7) + 1\\\\f(7) = 36

B. f^{-1}(x) = \frac{x - 1}{5}

C. f^{-1}(7) =\frac{6}{5}

D. f(\frac{6}{5}) = 7

Step-by-step explanation:

A. To solve the first part of the problem we must replace x = 7 in the function f(x) = 5x + 1

So:

f(7) = 5(7) + 1\\\\f(7) = 36

B. In part B we must find the inverse function of f(x) = 5x + 1

To find the inverse function do y = f(x)

y = 5x +1

Now clear the variable x.

\frac{y - 1}{5} = x

Replace x with y.

y = \frac{x - 1}{5}

Finally

f^{-1}(x) = \frac{x - 1}{5}

C. Now we take the inverse function found above and replace x = 7

f^{-1}(7) = \frac{7 - 1}{5}\\\\f(7) = \frac{6}{5}

D. Now we substitute x = f(f^{-1}(7)) in the original function.

x = f( f^{-1}(7))\\\\f^{-1}(7) = \frac{6}{5}\\\\ x= f(\frac{6}{5} )\\\\f(\frac{6}{5}) = 5(\frac{6}{5}) + 1\\\\f(\frac{6}{5}) = 7

8 0
4 years ago
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How many solutions does this system of equations have<br><br> 5m-4=7m+8
Stels [109]
Find value of m either add or subtract for m
5 0
3 years ago
Draw the graph of 3x+2y+6
Elanso [62]

Answer:

cymath.com

Step-by-step explanation:

you can solve other equations there as well

7 0
3 years ago
Read 2 more answers
What adds to be the bottom number but also multiplies to be the top?
frozen [14]
3 can be multiplied to 5 and the answer would be 15
3 can be added to 5 and the answer would be 8
6 0
3 years ago
Solve for x. please show work
Mazyrski [523]
Those 2 angles makes up corresponding angles in parallel lines. Which means, both two angles equal to each other because this is a rule that exists when both of the lines are parallel to each other which is indicated with red arrows in the photo.
75 = 11x - 2
75 + 2 = 11x
77 = 11x
X = 77 / 11
X = 7
The answer is 7.
3 0
3 years ago
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