Answer:
f⁻¹(x) = (1/2)x +5
Step-by-step explanation:
In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).
... y = 2x -10
... x = 2y -10 . . . . . . swapped variables
... x +10 = 2y . . . . . add 10
... (1/2)x + 5 = y . . . . divide by 2
... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation
When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
,infinity)
So the answer if the square root is only over the x the answer is
(0, infinity)
But if the square root is over the x- 5 then this would brIng a smaller amount of possible x values. since anything under the square root sign has to be greater than 0, you can say that:
(x - 5) > 0
x > 5
Therefore the domain would start at 5 and the answer would be:
(5, infinity)
Answer:
x
=
9
+
√
33
/12
, 9
−
√
33 12
or
x
=
1.22871355
…
, 0.27128644
…
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
x and 167 are a linear pair, x plus 167 will equal 180
x + 167 = 180
x = 180 - 167
x = 13
To check: x + x + 167 + 167 = 360
x = 13
13 + 13 + 167 + 167 = 360
26 + 167 + 167 = 360
26 + 334 = 360
360 = 360
1 kg = 1000 g....so 2.5 kg = (2.5 * 1000) = 2500 grams
it cooks 30 minutes per 500 g.....2500/500 = 5...so there are 5 thirty minute periods ....(5 * 30) = 150 minutes....plus the extra 20 minutes....(150 + 20) = 170 minutes....so ur looking at 2 hrs 50 minutes cook time <=
