Question

F(x) = x 2+ 6 and g(x) = 2x - 1

g[f(x)] =


A.) 4x² - 4x + 7
B.) 2x² + 11
C.) 2x² + 5

Answer 1

B.) 2x² + 11

Explanation:

`f(x)=x^2+6,\ g(x)=2x-1\\\\g\bigg[f(x)\bigg]-\text{in}\ g(x)\ \text{replace}\ x\ \text{as}\ (x^2+6)\\\\g\bigg[f(x)\bigg]=2(x^2+6)-1\qquad\text{use the distributivoe property}\\\\g\bigg[f(x)\bigg]=2x^2+12-1\\\\g\bigg[f(x)\bigg]=2x^2+11`