What is the inverse of the function g() = 2/5 x + 3?

5/2(x-3)

Step-by-step explanation:

g(x) = 2/5 x + 3

y = 2/5x +3

Exchange x and y

x = 2/5y +3

Solve for y

Subtract 3 from each side

x-3 = 2/5y +3-3

x -3 = 2/5y

Multiply each side by 5/2

5/2(x-3) = 5/2(2/5)y

5/2(x-3) = y

The inverse is 5/2(x-3)

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3