Respuesta :

theclosetva
f(x) = (x - 7)/3.  

For inverse function, switch the x and y values and then solve for y. 

y = (x - 7)/3 ..... this is still the original function 
x = (y - 7)/3 ...... I switched the x and y 
3x = y - 7 
y = 3x + 7 .... this is the inverse 
f⁻¹(x) = 3x + 7 
f⁻¹(4) = 3(4) + 7 = 19 ... 19 is your final answer!

19

Hope this helps :)

Solution:

f(x)=[tex]\frac{x-7}{3}[/tex]

Or , y = [tex]\frac{x-7}{3}[/tex]

→ 3 y = x-7

→ x = 3 y +7-----(1)

Now replace x by y in equation 1 ,to get the inverse of f(x)

[tex]f^{-1}(x)= 3 x + 7[/tex]

[tex]f^{-1}(4)= 3 \times 4 +7=19[/tex]


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