Question

Question
Consider continuous functions and g. Then complete the statement
-1
-4
0
-2
0
3
8
Function g is the sum of 2 and the
cube root of the sum of three
times x and 1
2
15
4
24
6
Select the correct answer from each drop-down.
The x-intercept of function is
the x-intercept of function g.
01
ET

Answer 1

Answer:

Step-by-step explanation:

From the table attached,

x-intercept of the linear function is, the value of 'x' when f(x) = 0  

x = 3 [x-intercept]

Function 'g' is the sum of 2 and the cube root of the sum of three time x and 1.

g(x) = $2+\sqrt[3]{3x+1}$

For x-intercept,

g(x) = 0

$2+\sqrt[3]{3x+1}=0$

3x + 1 = (-2)³

3x + 1 = -8

3x = -8 - 1

3x = -9

x = -3

Therefore, the x-intercept of function 'f' is different or greater than the x-intercept of function g.