If f(x) = 5x – 1, then f^-1(x)=

Step-by-step explanation:

f(x) = 5x – 1

To find the inverse equate f(x) to y

That's

f(x) = y

y = 5x - 1

Interchange the terms

x = 5y - 1

Make y the subject

we have

5y = x + 1

Divide both sides by 5

y = x+1/5

Therefore f^-1(x)= x + 1/5

Hope this helps you

your answer is the frist one

hop i

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true