What is the inverse function (equation) of f(x) = 6x - 5 ?

Step-by-step explanation:

Given

f(x) = 6x - 5

f^-1(x) = ?

Let

y = f(x)

y = 6x - 5

Interchanging the roles of x and y we get

x = 6y - 5

6y = x + 5

y = ( x + 5 ) / 6

So therefore f^- 1(x) = (x + 5) / 6

Hope it helps :)❤

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places