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qaws [65]
2 years ago
9

2/

Mathematics
1 answer:
docker41 [41]2 years ago
5 0

Answer:

2/

For all values of x,

f(x)=2x-3

and

a) Find fg(x).

Simplify and give your answer in the form ax² + b

b) Find gf(x).

Simplify and give your answer in the form ax² + bx + c

g(x) = x² + 1

Step-by-step explanation:

You might be interested in
What is the complete factorization of the polynomial below
DerKrebs [107]

Answer:

a. \ (x-2)(x+i)(x-i)

Step-by-step explanation:

First of all let's notice that (x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C} while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of (x-\alpha) it means tha \alpha is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)

p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0

p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20

At this point 2 is a zero, and our final factoring is a(x-2)(x+i)(x-i)

7 0
2 years ago
I need help been stuck for an hour now will mark the brainliest 40 points!
GenaCL600 [577]
A) x + y = 110
x - y = 40
B) Melvin swims for 35 minutes every day.
C) It is not possible
Step-by-step explanation:
Step 1:
Let x denote the duration for which Melvin plays tennis and y denote the duration for which he swims
Step 2 :
Part A :
Given that the total duration for which he plays and tennis is 110 minutes
so we have x + y = 110
Also given that he plays tennis for 40 minutes more than he swims
So, x = y+ 40 =>x-y = 40
So the linear pair of equations are
x + y = 110
x-y = 40
Step 3 :
Part B
Solving the above 2 equations we have
y+40+y = 110 = > 2y+ 40 = 110 = > y = 2y = 70 = >35
x = y+40 = 35+ 40 = 75
So Melvin plays tennis for 75 minutes and swims for 35 minutes every day.
Step 4 :
Part C
Given he plays and swims for 110 mins exactly, i.e x + y = 110
If Melvin plays tennis for 70 minutes , then x = 70, then the time for which he can swim is 110 - 70 = 40 mins.
He gets only 40 mins for swimming which is not 40 mins more than he plays tennis .
So this case is not possible.
4 0
3 years ago
Read 2 more answers
Solve the inequality.<br><br> 2(4 + 2x) ≥ 5x + 5?<br><br> x ≤ ?
NikAS [45]
2(4+2x)≥5x+5
4+2x≥5/2x+5/2 (divide both sides by 2)
3/2+2x≥5/2x (subtract 5/2 from both sides)
3/2≥1/2x (subtract 2x from both sides)
3≥x (multiply both sides by 2)
or x≤3

Hope this helps
5 0
3 years ago
Read 2 more answers
547321 rounded to nearest one thousand
Sphinxa [80]
The nearest thousand is 547,000
5 0
3 years ago
Solve triangle problems where angles or sides are given in terms of other angles or sides
DENIUS [597]

Answer:

18

Step-by-step explanation:

x+x+17+6=49

2x=36

x=18

s1=18

s2=35

s3=6

8 0
3 years ago
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