Question

Which point is on the graph of the inverse function h-¹(x)?
O (2,4)
0 (0)
O (0, 1)
O (-5, 1)

Answer 1

Answer: (0,1)

Step-by-step explanation:

If (x,y) lies on the graph of the original function, then (y,x) lies on the graph of the inverse.

Since (1,0) lies on the graph of h(x), (0,1) lies on the graph of its inverse.

Answer 2

(0, 1) point is on the graph of the inverse function h-¹(x).

What are inverse functions?

Two functions f(x) and g(x) are inverses if their composition is equal to the identity.

Equation of line will be

y = -2x + 2 = h(x)

h⁻¹(x) will be calculated as:

x = -2y + 2

x - 2 = -2y

y = (2 - x)/2

So, y = h⁻¹(x) = (2 - x)/2

put x = 0 in the equation y = (2 - x)/2

y = 1

(0, 1) = (0, 1)

This, (0, 1) is the point on h⁻¹(x).

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