Question

Given f(x)=5/2x+7,if f(x)=-13 find x
pls show work

Answer 1

x=-25.5

Explanation:

5/2(-13) +7=-25.5

Answer 2

The value of x = -1/8

Explanation:

Given

`f\left(x\right)=(5)/(2x)+7`

`f(x)=-13`

To determine

The value of x = ?

Using the function

`f\left(x\right)=(5)/(2x)+7`

substituting f(x) = -13 in the function

`-13=(5)/(2x)+7`

Subtract 7 from both sides

`-13-7=(5)/(2x)+7-7`

Simplify

`-20=(5)/(2x)`

Multiply both sides by 2x

`-20\cdot \:2x=(5)/(2x)\cdot \:2x`

Simplify

`-40x=5`

Divide both sides by -40

`(-40x)/(-40)=(5)/(-40)`

`x=-(1)/(8)`

Therefore, the value of x = -1/8