function
f(x)=2x+3, (5)
Substitute x with 5 in the function
f(5) =2(5)+3
=10+3=
=13
f(5)=13
3 2x +1 7
break it down into two separate inequalities
3 2x+1 and 2x + 1 7 subtract 1 from both sides 2 <2x divide both sides by 2x<6 x<3 1<x<3
slove for x
3x(x-2)+4=13
distribute the 3
3x-6+4=13 3x-2=13 add 2 to both sides 3x=15 dived 3
x=5
f(x)=2x+3, find f(4)
f(4)=2(4)+3
f(4)=8+3
f(4)=11
slove for x 2x+3=x+7
2x+3=x+7
subtract x from both sides
2x-x+3=7
subtract 3 from both sides
x=4
f(x)=3x-4, find the inverse function f^(-1)(x)
slove for why y =3x-4
Swap x and y
x=3y-4
x+4=3y
y=(x+4/3
f⁽1-)(x)=(x+4(/3
x-4<-2 2x+3>7
x-4<-2 add 4 both sides X<2 2x>4 X>2
-2<3x-5 3x-5<4
1<x<3
slove for y 2(y+3)-5=9
distribute the 2
2y+6-5=9
subtract 1 from both sides 2y=8
divide by 2
y=4
g(x)=x2 -5x+6 find g(2)
g(2)=(2)^2-5(2)+6
g(2)=4-10+6
g(2)=0
slove for x 3x-5=2x+4
3x--5=2x+4
subtract 2x from both sides 3x-2x-5=4
x-5=4
add 5 to both sides
x=9
x+1, find (f.g)(2)
first, find g(2)
g(2)=2+1=3
now find f(g(2
f(3)=3^2=9
(f g)(2)=9
1/2x-3<-4 1/3x+2<5
1/x-3>-4 add 3 to both sides
1/2x>-1
x>-2
-2<x<9
slove for z
4z -7 =2(z+5)
distribute the 2 on the right side
4z-7 2z +10
subtract 2z from both sides
2z -7 =10 add 7 to both sides 2z-17
divide by 2
z=8.5
3x^ 2+4x-7 find h(-1)
h(-1)=3(-1)^ 2+4(-1)-7
h(-1)=3(1)-4-7
h(-1)=3-4-7
h(-1)=8
slove for 4x+2=6x-10
4x+2=6x-10
subtract 4x from both sides
2=2x-10
add 10 to both sides
12=2x
divide both sides by 2
x=6
f(x) =1/(x-2)
x-2=0
x=2
2
3x-4<2
3x-4<2
add 4 to both sides
3x<6 divide by 3 x<2
2x+5<11 2x+5 <11 dived by 2 x<3
x<2 or x < 3
slove for x
5(x-1)=3(3x+2)+4
distribute the 5 and the 3
5x-5=3x+10
subtract 3x from both sides 2x-5=10
add 5 to both sides
2x=15 divide by 2 x=7.5
k(x)=sqrt(x) +2 find k(9)
k(9)=sqrt(9)+2
k(9)=3+2
k(9)=5
slove for x5x-3+9
5x-3=3x+9
subtract 3x from both sides
2x-3=9
add 3 to both sides
2x=12b
x=6
solving for x f(x)=2x+5
13=2x+5
13=2x+5
8=2x
x=4
-2< 3x -5 <7
-2<3x-5 add 5 to both sides 3<3x
dived 3 1<x
1<x<4
slove for y
6(y-2)+8=4(y+3)-2
distribute the 6 and the 4
6y-12_8=4y+10 subtract 4y from both sides
2y=14
divide by 2
y=7
m(x)=1/(x-1) find (3)
m(3)=1/(3-1)
m(3)=1/2
M(3)=0.5
slove for x 7x+4=5x+12
7x+4=5x+12
subtract 5x from both sides
2x+4=12
subtract 4 from both sides
2x=8
divide both sides by 2
x=4