Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.

The inverse function gives us -1 when x = 3.

In order to find this, we have to solve for the inverse. We do this by switching the x and f(x) values and then you can solve for the new f(x) value. The work for this is done below. 

f(x) = 4(x + 3) - 5 ----> Switch the x and f(x)

x = 4(f(x) + 3) - 5-----> Add 5 to both sides. 

x + 5 = 4(f(x) + 3) ----> Divide both sides by 4. 

= f(x) + 3 ---> Subtract 3 from both sides. 

- 3 = f(x) 

Now that you've returned to f(x), you have the inverse. Now we can take the inverse equation and plug in for x = 3. 

f(x) = - 3 

f(3) = - 3 

f(3) = - 3 

f(3) = 2-3

f(3) = -1

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is