Answer:
f(x) = sqrt(x + 6)
y = sqrt(x + 6)
x = sqrt(y + 6)
Stx^2 = y + 6
x^2 - 6 = y
red line: f(x) = sqrt(x + 6)
green line: f^-1(x) = x^2 - 6
Answer:
(7-2) x 2 -1 = 9
Step-by-step explanation:
(7-2) = 5 x 2 =10 -1 = 9
Answer:
4xy See image.
Step-by-step explanation:
Remember for division questions to use Keep, Change, Flip. You will Keep the first term the same. Change the divide to times. And Flip the second term (turn it upside down, in math this is called the reciprocal)
Also, you need to know when you you get to the part where everything is times, then you times: top×top, and bottom×bottom.
Once everything is times, you can rearrange the order and cancel (cancel is not really the mathy thing happening, you are dividing---
x/x is 1 and y/y is 1,
10/5 is 2, 6/3 is 2) See image.
Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3
Step-by-step explanation:
Since, For function f , the domain is R - {7}
That is, If x is any element of the domain of the function f,
Then, x ≠ 7
(gof)(x) = g(f(x))
Since, For the function g, the domain is R - {-3}
Thus, If f(x) is any element of the domain of the function g,
Then f(x)≠ -3
Hence, Fourth Option is correct.
Answer:
A
Step-by-step explanation:
6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.
So the answer must be either A or B.
B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this question).
A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.
