Answer:
Step-by-step explanation:
we know that
In the function f(x) the inflection point is at 
In the function g(x) the inflection point is at 
so
the rule of the translation of f(x) to g(x) is equal to
That means-----> the translation is 
units to the right and 
units down
The equation of g(x) is equal to
therefore
The answer would be (8/11,0) as the x-intercept
15 percent off 9.00 is 7.65
Step-by-step explanation:
The difference is 1.35
Answer: divide 2 from what you got from the last one
Step-by-step explanation:
32+16=48 so then divide 16 by 2 or subtract 8
The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
Given that,
The function is (-x+3)/ (3x-2)
We have to find f(1) and f'(x).
Take the function expression
f(x)= (-x+3)/ (3x-2)
Taking x as 1 value
f(1)= (-1+3)/(3(1)-2)
f(1)=2/1
f(1)=1
Now, to get f'(x)
With regard to x, we must differentiate.
f(x) is in u/v
We know
u/v=(vu'-uv')/ v² (formula)
f'(x)= ((3x-2)(-1)- (-x+3)(3))/ (3x-2)²
f'(x)= ((-3x+2)-(-3x+9))/ 9x²- 12x+4
f'(x)=(-3x+2+3x-9)/ 9x²- 12x+4
f'(x)=2-9/ (9x²- 12x+4)
f'(x)=-7/ (9x²- 12x+4)
Therefore, The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
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