If \(h(x)=2x^3-3\) and \(h(m)=-19,\) what is the value of \(m?\)

[VJesus12]

If \(h(x)=2x^3-3\) and \(h(m)=-19,\) what is the value of \(m?\)

(A) -3
(B) -2
(C) 2
(D) 6,856
(E) 6,862

Answer: B

Source: Manhattan GMAT

[Scott@TargetTestPrep]

If \(h(x)=2x^3-3\) and \(h(m)=-19,\) what is the value of \(m?\)

(A) -3
(B) -2
(C) 2
(D) 6,856
(E) 6,862

Answer: B

Solution:

Since h(m) = 2m^3 - 3, we have:

2m^3 - 3 = -19

2m^3 = -16

m^3 = -8

m = 3^√(-8) = -2

Answer: B