Question

Evaluate the function: fx=2x²-7 and gx=5x find f(-3)-5g(1)

Answer 1

To find f(-3) - 5g(1), we calculate f(-3) to be 11 and g(1) to be 5. Multiplying g(1) by 5 gives 25, and subtracting this from f(-3) yields -14.

Step-by-step explanation:

To evaluate the function fx = 2x² - 7 and gx = 5x, and then find f(-3) - 5g(1), we first substitute x with -3 in the function f(x) and x with 1 in the function g(x).

For f(-3):

• f(x) = 2x² - 7
• f(-3) = 2(-3)² - 7 = 2(9) - 7 = 18 - 7 = 11

For g(1):

• g(x) = 5x
• g(1) = 5(1) = 5

Now, we can calculate f(-3) - 5g(1):

• f(-3) - 5g(1) = 11 - 5(5) = 11 - 25 = -14

Therefore, the result of f(-3) - 5g(1) is -14.