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Lana71 [14]
3 years ago
11

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3. (1 point)

Mathematics
2 answers:
atroni [7]3 years ago
6 0

the function f(x) = 4(x+3) − 5

Lets find the inverse function f^-1(x)

step 1: Replace f(x) with y

y = 4(x+3) − 5

step 2: Replace x  with y and y with x

x = 4(y+3) - 5

step 3: Solve for y

x = 4(y+3) - 5

x = 4y +12 -5

x= 4y + 7 (subtract 7 on both sides)

x - 7 = 4y (divide by 4 on both sides)

\frac{x-7}{4}=y

f^{-1}(x)=\frac{x-7}{4}

Given : x = 3

We plug in 3 for x in the inverse function

f^{-1}(x)=\frac{3-7}{4} = -1

the inverse function when x = 3  is -1


Rainbow [258]3 years ago
5 0

the inverse function is x = 3  is -1

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