Answer:
X= -4
Step-by-step explanation:
Answer:
yesyesyesyes
Step-by-step explanation:
yesyesyesyesyes
The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.
Here the two functions are given, f(x) and g(x).
f(x) = 2x² + 1
g(x) = 3x - 5
We have to find f-g and f(g(2)).
1) f- g
f(x) - g(x)
(2x² + 1) - ( 3x - 5)
2x² + 1 - 3x + 5
2x² - 3x + 6
2) f(g(2))
f(g(x)) = 2(3x-5)² + 1
= 2( 9x² - 30x + 25) + 1
= 18x² - 60x + 50 + 1
= 18x² - 60x + 51
f(g(2)) = 18(2)² - 60(2) + 51
=18× 4 - 120 + 51
= 72 - 120 + 51
= 123 - 120
= 3
Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.
To know more about the function refer to the link given below:
brainly.com/question/11624077
#SPJ4
Answer:
m = -8
b = -24
Step-by-step explanation:
To solve this problem use the hint and put this equation in y = mx + b form. This is called slope-intercept form.
In slope-intercept form, the coefficient of x (which is m) is the slope of the line and b is the y-intercept of the line.
Add 32x to both sides of the equation.
Divide both sides of the equation by -4.
Comparing this to y = mx + b, the -8 is "m" and -24 is "b". Therefore your final answers are:
m = -8
b = -24
Answer:
3/2 < x < 2
Step-by-step explanation:
We assume the problem is ...
[tek]\dfrac{1}{x-2}<-2[/tex]
This will not be true for x-2 > 0 because that would make the left side positive. So, we must have x < 2, which makes the denominator negative. Multiplying by (x-2), we get ...
1 > -2(x -2)
1 > -2x +4
2x > 3 . . . . . . add 2x-1
x > 3/2
From above, we also have x < 2, so the solution set is ...
3/2 < x < 2
