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Andrej [43]
3 years ago
8

Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19.

Mathematics
2 answers:
Keith_Richards [23]3 years ago
7 0

Answer:

The answer is 1 i.e the inverse function will be 1 when x=19

Step-by-step explanation:

Given f(x)=5(x+4)-6

we have to solve for inverse function

Step 1: Replace f(x) with y.

              y=5(x+4)-6

Step 2: Now replace all x with y and all y with x, we get

              x=5(y+4)-6

Step 3: Solve for y

    x+6=5(y+4)

 ⇒         x+6=5y+20

 ⇒         x+6-20=5y

 ⇒         y=\frac{x-14}{5}

Step4: Replace y by f^{-1}(x)

gives     f^{-1}(x)=\frac{x-14}{5}

When x=19      (given)

⇒ f^{-1}(x)=\frac{19-14}{5}=1


vlada-n [284]3 years ago
4 0
Y = 5(x+4)-6 
x = 5(y+4)-6 
x = 5y +20 - 6 
x= 5y +14 
5y = x-14 
y = (x-14)/5 
<span>
when x = 19, y = (19-14)/5 </span>
y = 5/5 
<span>y=1

In short, Your Answer would be Option 2

Hope this helps!</span>
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