What is the inverse function of g(x) = 1/4 x + 5 ?

The inverse function

Step-by-step explanation:

The given function is g(x) = 1/4 x + 5

Let's take g(x) = y

y = 1/4 x + 5

To find the inverse function, change x by y and y by x, we get

x = 1/4 y + 5

Now write the y interms of x.

Subtract 5 from both sides, we get

x - 5 = 1/4 y

Now isolate y.

y = (x - 5) ÷ (1/4)

y = 4(x - 5)

y = 4x - 20

Therefore, the inverse of g(x) is g^(-1) (x) = 4x - 20

Thank you.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)