If r (X) = 2-x^2 and w (X) = X-2, what is the range of (w*r) (X)

A) (-infinity, 0]

B) (-infinity, 2]

C) [0, infinity)

D) [2, infinity)

Question

Mathematics

Rowan Wood

15 October, 05:39

If r (X) = 2-x^2 and w (X) = X-2, what is the range of (w*r) (X)

A) (-infinity, 0]

B) (-infinity, 2]

C) [0, infinity)

D) [2, infinity)

+3

Answers (1)

Know the Answer?

Wrinkles · Answer 1

R (x) = - x² + 2

w (x) = x - 2

(w · r) (x) = (-x² + 2) (x - 2)

(w · r) (x) = - x² (x - 2) + 2 (x - 2)

(w · r) (x) = - x² (x) + x² (2) + 2 (x) - 2 (2)

(w · r) (x) = - x³ + 2x² + 2x - 4

The answer is B.

(-∞, 2], y

If r (X) = 2-x^2 and w (X) = X-2, what is the range of (w*r) (X)A) (-infinity, 0]B) (-infinity, 2]C) [0, infinity)D) [2, infinity)

If r (X) = 2-x^2 and w (X) = X-2, what is the range of (w*r) (X)

A) (-infinity, 0]

B) (-infinity, 2]

C) [0, infinity)

D) [2, infinity)