If f(x)=5x-25 and g(x) = 5x+5, which expression could be used to verify g(x) is the inverse of fx)?

g(x) is not the inverse of f(x)

Step-by-step explanation:

If f(x)=5x-25 and g(x) = 5x+5, which expression could be used to verify g(x) is the inverse of fx)

We need to show that f(g(x)) = g(f(x))

f(g(x)) = f(5x+5)

f(5x+5) = 5(5x+5) - 25

f(5x+5) =25x+25 - 25

f(5x+5) = 25x

f(g(x)) = 25x

Similarly;

g(f(x)) = g(5x-25)

g(5x-25) = 5(5x-25) + 5

g(5x-25) = 25x - 125 + 5

g(5x-25) = 25x - 120

This shows that g(x) is not the inverse of f(x)

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3