Answer:
1/2x+5/2
Step-by-step explanation:
1. Change f(x) to y
y = 2x – 5
2. Switch x and y.
x = 2y – 5
3. Solve for y by adding 5 to each side and then dividing each
side by 2.
x+5=2y
4. Change y back to f^-1(x)... in other words the inverse
f^-1(x)=(x+5)/2
= 1/2x+5/2
y=f-1(x)=1/2(x+5)
explanation: write y equals 2x - 5 and now interchange X and Y it becomes x equals 2y - 5
now solve for y equals F -1 (x) equals 1/2(x + 5)
g(x)= (x + 5) / (2)
is the inverse function of F (x)= 2x - 5
