Given g(x)= -25+sqrtx+1 determine the inverse of g?

Question

Given g(x)= -25+sqrtx+1 determine the inverse of g?

Answer 1

g(x) = sqrt(x - 1) -25

let y = sqrt(x - 1) -25

making 'x' the subject of the formula gives:

y + 25 = sqrt(x - 1) and then

(y + 25)^2 = x -1 and finally

x = y^2 + 50y + 624

giving inv of g(x) = x^2 +50x +624

Answer 2

g(x)= -25+sqrt(x+1)

y=-25+sqrt(x+1)

switch y and x

-25+sqrt(y+1)=x

solve for y

sqrt(y+1)=x+25

y+1=(x+25)^2

y=(x+25)^2-1

g(-1)(x)=(x+25)^2-1