Use the function f(x)=x^2-8 find the inverse of f(x)

Step-by-step explanation:

let : y = x² - 8

calculate : x

x² = y + 8

x exist : y + 8 ≥ 0

x = √(y + 8)    or x =  - √(y + 8)

conclusion :

if : x ≥ 0    the inverse of f(x) is : g(x) = √(x + 8)

if : x ≤ 0    the inverse of f(x) is : h(x) =  - √(x + 8)

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.