Answer:
x = 1, y = 6
or
x = 5, y = 2.
Step-by-step explanation:
y=x2−7x+12
y=−x+7
Substitute for y in the first equation:
- x + 7 = x^2 - 7x + 12
x^2 - 7x + x + 12 - 7 = 0
x^2 - 6x + 5 = 0
(x - 1)(x - 5) = 0
x = 1, 5.
When x = 1, y = -1 + 7 = 6.
when x = 5, y = -5+7 = 2.
Answer:
y= 4x+3
Step-by-step explanation:
To write your equation, solve for the slope.
(y2-y1)/ (x2-x1)
Find two coordinate points from the table.
(0,3) (1,7)
(7-3)/ (1-0)= 4
m=4
Use point-slope equation to find your equation.
(y-y1)=m(x-x1)
(y-3)=4(x-0)
y-3= 4x
y= 4x+3
Answer:
c. g(x)=(1/2x^2)
Step-by-step explanation:
f(x) = 2x
g(x) = x + 3
First let us find (fog)(x)
<span />
(fog)(x) = f(g(x)
= f(x+3)
= 2(x+3)
= 2x + 6
==> (fog)(x) = 2x + 6
Now let us find (gof)(x):
(gof)(x) = g(f(x)
= g(2x)
= 2x + 3
==> <span>(gof)(x) = 2x + 3</span>