For the function For the function f(x)=2|5x+7|−1, evaluate f(−4).

f(- 4) = 25

Step-by-step explanation:

Note the absolute value function | a | always returns a positive value, that is

| - a | = | a | = a

Given

f(x) = 2 | 5x + 7 | - 1

To evaluate f(- 4) substitute x = - 4 into f(x)

f(- 4 ) = 2 | 5(- 4) + 7 | - 1 = 2 | - 20 + 7 | - 1 = 2 | - 13 | - 1 = (2 × 13) - 1 = 26 - 1 = 25

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.