What’s the inverse of f(x)=x^3 +7 ?

y = (x - 7)^(1/3)

Step-by-step explanation:

Notice that f(x) is a monotonically increasing function (so it has an inverse along the domain .

To find the inverse, we interchange the variables and solve for y.

So interchanging the variables gives us:

x = y^3 + 7.

We then solve for y, giving us:

x - 7 = y^3

y = (x - 7)^(1/3).

answer: -1

step-by-step explanation:

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