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3 years ago

10

Evaluate f(2) if f(x) = -2x + 7

1 answer:

34kurt3 years ago

6 0

$f(2)= -2x+7\\f(2)= -2.2+7\\-4+7=3$

Fun fact

An apple, potato, and onion all taste the same if you eat them with your nose plugged

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A function is given:

IceJOKER [234]

Answer:

See explanations below

Step-by-step explanation:

Given the function

f(x) = 3x+12

Let y = f(x)

y = 3x+12

Replace y with x

x = 3y+12

Make y the subject

3y = x-12

y = (x-12)/3

Hence the required inverse is!

g(x) = (x-12)/3

b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))

f(g(x)) = f((x-12)/3)

Replace x in f(x) with x-12/3

f(g(x)) = 3(x-12)/3 +12

f(g(x)) = x-12+12

f(g(x)) = x

Similarly for g(f(x))

g(f(x)) = g(3x+12)

g(f(x)) = (3x+12-12)/3

g(f(x)) = 3x/3

g(f(x)) = x

Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other

c) Given f(g(x)) = x

f(g(–2)) = -2

The domain is the input variable of the function. Hence the domain is -2

5 0

3 years ago

In a particular game, a spinner with four equally-sized sectors labeled 1, 3, 5, and 6 is spun twice. One turn is considered 2 s

Harman [31]

Answer:

3 spaces backwards, if you still need it.

Step-by-step explanation:

4 0

3 years ago

33x-21x=-24+12 <br> I need help on this math problem. Thanks

lions [1.4K]

X=3. 33x-21x equals 12x. 24+12=36. 12x divided by 36 equals 3

8 0

4 years ago

1 + 4 = 5<br>2 + 5 = 12<br>3 + 6 = 21<br>8 + 11 = ?

Finger [1]

8 + 11 = 19
The answer is 19

4 0

3 years ago

Simplify: (Algebra)

kodGreya [7K]

Answer:

$2j-3o-5e+l-j+4o+6e= e+j+l+o$

$-7d+a+2v-i+8d-v+2i+d^2 = d^2+a+d+i+v$

$4a+12r-i+a^2-11r-3a+n+a^3 = a^3+a^2+a-i+n+r$

$r^3-11a+12a-sh+2sh+i+d= r^3+a+sh+i+d$

$t^5+a-2a+2r-r+l-2l+a^4+3n-2n = t^5-a+r-l+a^4+n$

$-11i^2-r+2r+a^3-4d+3d-a = -11i^2+r+a^3-d-a$

$-9r+10r+a-s^3-2a+2s^3+u-l = r-a+s^3+u-l$

$-4d+2a^3-a^3+5n+iz-4n = -4d+a^3+n+iz$

$16a^5-2(l-y+y3)-a+d^2-d^3+in = 16a^5-2l-2y+2y3-a+d^2-d^3+in$

$-5z-e+2e-y^5-n+2n-a^5-l+l^3-i^3 = -5z+e-y^5+n-a^5-l+l^3-i^3$

$-2m+a-m^3-2m^5-a^3-d+l+i^4= -2m+a-m^3-2m^5-a^3-d+l+i^4$

$-4t^3+5t^3+3o-2o+2m-m-r^3-is+2is = t^3+o+m-r^3+is$

$-5j+h-2h+4j-3a+6a-d^3 = -5j-h+4j+3a-d^3$

$r^3-3u+2u-st+a^3-2a^3-5m+4m = r^3-u-st-a^3-m$

$-6b^5-a+4h-3h+18a^2+3a-d^4+i^2-2i^2-4r^4= -6b^5+3a-a+4h-3h+18a^2-d^4+i^2-2i^2-4r^4$

$13s^5-2o+5n^3-12s^5-6n^3+3o+a^5=s^5+o-n^3+a^5$

$-17m+16m-3u+r^3+2u-2r^3+a^4+d^4= -1m+-u-r^3+a^4+d^4$

Step-by-step explanation:

$a.\ 2j-3o-5e+l-j+4o+6e$

Collect Like Terms

$-5e+6e+2j-j+l+4o-3o$

$e+j+l+o$

Hence:

$2j-3o-5e+l-j+4o+6e= e+j+l+o$

$b.\ -7d+a+2v-i+8d-v+2i+d^2$

Collect Like Terms

$d^2+a+8d-7d-i+2i+2v-v$

$d^2+a+d+i+v$

Hence:

$-7d+a+2v-i+8d-v+2i+d^2 = d^2+a+d+i+v$

$c.\ 4a+12r-i+a^2-11r-3a+n+a^3$

Collect Like Terms

$a^3+a^2+4a-3a-i+n+12r-11r$

$a^3+a^2+a-i+n+r$

Hence:

$4a+12r-i+a^2-11r-3a+n+a^3 = a^3+a^2+a-i+n+r$

$d.\ r^3-11a+12a-sh+2sh+i+d$

Evaluate like terms

$r^3+a+sh+i+d$

Hence:

$r^3-11a+12a-sh+2sh+i+d= r^3+a+sh+i+d$

$e.\ t^5+a-2a+2r-r+l-2l+a^4+3n-2n$

Evaluate like terms

$t^5-a+r-l+a^4+n$

Hence:

$t^5+a-2a+2r-r+l-2l+a^4+3n-2n = t^5-a+r-l+a^4+n$

$f.\ -11i^2-r+2r+a^3-4d+3d-a$

Evaluate Like Terms

$-11i^2+r+a^3-d-a$

Hence:

$-11i^2-r+2r+a^3-4d+3d-a = -11i^2+r+a^3-d-a$

$g.\ -9r+10r+a-s^3-2a+2s^3+u-l$

Collect Like Terms

$-9r+10r+a-2a+2s^3-s^3+u-l$

$r-a+s^3+u-l$

Hence:

$-9r+10r+a-s^3-2a+2s^3+u-l = r-a+s^3+u-l$

$h.\ -4d+2a^3-a^3+5n+iz-4n$

Collect Like Terms

$-4d+2a^3-a^3+5n-4n+iz$

$-4d+a^3+n+iz$

Hence:

$-4d+2a^3-a^3+5n+iz-4n = -4d+a^3+n+iz$

$i.\ 16a^5-2(l-y+y3)-a+d^2-d^3+in$

Open bracket

$16a^5-2l-2y+2y3-a+d^2-d^3+in$

Hence:

$16a^5-2(l-y+y3)-a+d^2-d^3+in = 16a^5-2l-2y+2y3-a+d^2-d^3+in$

$j.\ -5z-e+2e-y^5-n+2n-a^5-l+l^3-i^3$

Evaluate like terms

$-5z+e-y^5+n-a^5-l+l^3-i^3$

Hence:

$-5z-e+2e-y^5-n+2n-a^5-l+l^3-i^3 = -5z+e-y^5+n-a^5-l+l^3-i^3$

$k.\ m-3m-a+2a-m^3-2m^5-a^3-d+l+i^4$

Evaluate like terms

$-2m+a-m^3-2m^5-a^3-d+l+i^4$

Hence:

$-2m+a-m^3-2m^5-a^3-d+l+i^4= -2m+a-m^3-2m^5-a^3-d+l+i^4$

$l.\ -4t^3+5t^3+3o-2o+2m-m-r^3-is+2is$

Evaluate like terms

$t^3+o+m-r^3+is$

Hence

$-4t^3+5t^3+3o-2o+2m-m-r^3-is+2is = t^3+o+m-r^3+is$

$m.\ -5j+h-2h+4j-3a+6a-d^3$

Evaluate like terms

$-5j-h+4j+3a-d^3$

Hence:

$-5j+h-2h+4j-3a+6a-d^3 = -5j-h+4j+3a-d^3$

$n.\ r^3-3u+2u-st+a^3-2a^3-5m+4m$

Evaluate like terms

$r^3-u-st-a^3-m$

Hence:

$r^3-3u+2u-st+a^3-2a^3-5m+4m = r^3-u-st-a^3-m$

$o.\ -6b^5-a+4h-3h+18a^2+3a-d^4+i^2-2i^2-4r^4$

Collect Like Terms

$-6b^5+3a-a+4h-3h+18a^2-d^4+i^2-2i^2-4r^4$

$-6b^5+2a+h+18a^2-d^4-i^2-4r^4$

Hence:

$-6b^5-a+4h-3h+18a^2+3a-d^4+i^2-2i^2-4r^4= -6b^5+3a-a+4h-3h+18a^2-d^4+i^2-2i^2-4r^4$

$p.\ 13s^5-2o+5n^3-12s^5-6n^3+3o+a^5$

Collect Like Terms

$13s^5-12s^5-2o+3o+5n^3-6n^3+a^5$

$s^5+o-n^3+a^5$

Hence:

$13s^5-2o+5n^3-12s^5-6n^3+3o+a^5=s^5+o-n^3+a^5$

$q.\ -17m+16m-3u+r^3+2u-2r^3+a^4+d^4$

Collect Like Terms

$-17m+16m+2u-3u+r^3-2r^3+a^4+d^4$

$-m+-u-r^3+a^4+d^4$

Hence:

$-17m+16m-3u+r^3+2u-2r^3+a^4+d^4= -1m+-u-r^3+a^4+d^4$

7 0

4 years ago