Answer:-4 or 8
Step-by-step explanation:The line g(x) = -4x + 5 and the function f(x) = 3x2 + kx + 8 cross at one point. By setting f(x) equal to g(x) and solving for x, we can determine the value of k that makes this true.
3x² + kx + 8 = -4x + 5....... (i)
3x² + (k+4)x + 3 = 0....... (ii)
Given that there is only one crossing point, the quadratic equation's discriminant must be zero.
(k+4)² - 4(3)(3) = 0.... (iii)
k² + 8k - 32 = 0...... (iv)
(k+4)(k-8) = 0....... (v)
k = -4 or k = 8
As a result, either -4 or 8 is the value of k that makes the assertion true.