Answer:
see explanation
Step-by-step explanation:
(a)
Given
f(x) = 2x + 1
To find f(2) substitute x = 2 into f(x)
f(2) = 2(2) + 1 = 4 + 1 = 5
(b)
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
(c)
Substitute x = 7 into [tex]f^{-1}[/tex] (x) , that is
[tex]f^{-1}[/tex] (7) = [tex]\frac{7-1}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
