Answer:
x ≥6
Step-by-step explanation:
Given the product:
√(x-6)*√(x+3)
The function has to be defined if x ≥0
Hence;
√(x-6)*√(x+3)≥0
Find the product
√(x-6)(x+3)≥0
Square both sides
(x-6)(x+3)≥0
x-6≥0 and x+3≥0
x≥0+6 and x ≥0 - 3
x ≥6 and x ≥-3
Hence the required inequality is x ≥6
Answer:
9
Step-by-step explanation:
Let the no be x
By the conditions given ,
2x + 6x = 72
8x = 72
x = 72/8
x = 9
therefore the no is 9
Answer:
2/3 ( 3x - 4 ) + 3x = 5/6
2x - 8/3 + 3x = 5/6
5x - 8/3 = 5/6
6(5x -8/3) = 6x5/6
30x - 16 = 5
<u> +16 +16</u>
<u>30x = 21</u>
30
x = 21/30
x = 0.7
Step-by-step explanation:
- distribute the bracket by 2/3
- combine like-terms
- multiply both sides by 6 (lcm of 3 and 6)
- add 16 to both sides
- divide both sides by 30 to get x
Answer:
Step-by-step explanation:
diagram attached represents a function g(x).
Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).
a). For input value x = 7, out put value of the function is y = 9.
Therefore, g(7) = 9 will be the answer.
b). Range of the function g(x) is the set of output values.
Range: {12, 9, 9, 17}
c). Inverse of the function g(x) will have,
Domain: {12, 9, 9, 17}
Range: {4, 7, 10, 15}
For input value of x = 9, there are two output values y = 7, 10.
Since, "a function can't have two output values for the same input value".
Therefore, inverse of the function g(x) will not represent a function.
