<h3>
Answer: f( f(x) ) = x^4 + 2x^2 + 2</h3>
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Work Shown:
f(x) = x^2 + 1
f(x) = ( x )^2 + 1
f( f(x) ) = ( f(x) )^2 + 1 .. replace every x with f(x)
f( f(x) ) = ( x^2+1 )^2 + 1 .. plug in f(x) = x^2+1
f( f(x) ) = ( x^2+1 )( x^2+1 )+1
f( f(x) ) = y( x^2+1 )+1 .... let y = f(x) = x^2+1
f( f(x) ) = y*x^2+y+1 ... distribute
f( f(x) ) = x^2*( y ) + ( y ) + 1
f( f(x) ) = x^2*( x^2+1 ) + (x^2+1) + 1 .... plug in y = x^2+1
f( f(x) ) = x^4 + x^2 + x^2 + 1 + 1
f( f(x) ) = x^4 + 2x^2 + 2
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Side note:
, the small circle indicates function composition. It's similar to 
The slope-intercept form of the equation of the line described is y + 2x = 4.
What are parallel lines?
Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.
Given:
The line is parallel y = -2x - 5
Therefore they have equal slope
From the equation y = -2x - 5
the slope m is -2
Given point = (4,-4)
Therefore the slope-intercept form
y - y1 = m ( x - x1 )
=> y + 4 = -2 ( x - 4)
=> y + 2x = 4
To learn more about slope-intercept form click on the link below:
brainly.com/question/22057368
#SPJ9
Answer:
116
2
real
irrational
Step-by-step explanation:
discriminant= b^2-4ac
a=1 b=8 c=-13
discriminant = 8^2 -4*(-13)=64+52=116
if discriminant>0 then we have two real solutions
since √116 is not an integer, solutions are irrational
Answer:
x-intercept(s): (
49
,
0
)
y-intercept(s): (
0
,
7
)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.