to find te inverse of a function
step 1: replace f(x) with y
step 2: replace all x with y an all y with x
step 3: solve for y
step4: replace y with new function name
f(x)=2x-10
step1: replace f(x) with y
y=2x-10
step 2: switch x and y
x=2y-10
step 3: solve for y
x=2y-10
x+10=2y
[tex]y=\frac{x+10}{2}[/tex]
[tex]y=\frac{1}{2}x+5[/tex]
step 4: replace y with new uction name
[tex]h(x)=\frac{1}{2}x+5[/tex]
none of the options because of the 1/2 missing
Let f(x) = y i.e. 2x-10= y
Thus we have 2x=y+10
x= y/2 +5 thus inverse of f(x) = h(x) = x/2 +5
