the graph of a function g is shown below.
find its inverse.
a. g-1(x) = x + 2
b. g-1(x) = x + 5
c. g-1(x) = x + 5
d. g-1(x) = -x + 2

Step-by-step explanation:

step 1

Find the equation of the function g(x)

Let

A(0,-2) and B(5,0)

Find the slope m

Find the equation of the line into slope intercept form

we have

substitute

step 2

Find the inverse of g(x)

Let

y=g(x)

Exchange the variables, x for y and y for x

Isolate the variable y

Multiply by 5 both sides to remove the fraction

Let

so

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get