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F(x)=2x-5 find the inverse ​

User Wanita
by
5.6k points

2 Answers

3 votes

Answer:

1/2x+5/2

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

User Simon Ness
by
4.9k points
3 votes

Explanation:

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

User Allonhadaya
by
5.8k points