Question

Find each function value. g(x)=2x²+18x−14
a. g(9)
b. g(3x)
c. g(1+5m)"

Answer 1

To find each function value, substitute the given values of x into the function g(x) = 2x² + 18x - 14. For example, g(9) = 310.

Step-by-step explanation:

To find each function value, we substitute the given values of x into the function g(x) = 2x² + 18x - 14.

a. For g(9), we substitute x = 9 into the function:

g(9) = 2(9)² + 18(9) - 14 = 2(81) + 162 - 14 = 162 + 162 - 14 = 310

b. For g(3x), we substitute x = 3x into the function:

g(3x) = 2(3x)² + 18(3x) - 14 = 2(9x²) + 54x - 14 = 18x² + 54x - 14

c. For g(1+5m), we substitute x = 1+5m into the function:

g(1+5m) = 2(1+5m)² + 18(1+5m) - 14 = 2(1+10m+25m²) + 18 + 90m - 14 = 2 + 20m + 50m² + 18 + 90m - 14 = 4 + 110m + 50m²