Which of the following is an even function

f(x) = 7 is a even function

Solution:

Given that we have to find the even function

A function is even if and only if f(–x) = f(x)

Steps to follow:

Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even.

If f(-x) = - f(x), the function is odd.

If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.

Substitute x = -x in above function

Thus

So this is not a even function

f(x) = 8x

Substitute x = -x in above function

f(-x) = 8(-x) = -8x

Thus

So this is not a even function

Substitute x = -x in above function

Thus

So this is not a even function

f(x) = 7

f(-x) = 7

Thus f(-x) = f(x)

Thus it is a even function

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!