Question

F(x)=6x^2-1/x^2

1.f(5)=
2.f(-5)=
3.f(-x)=

Answer 1

Explanation:

1. 6(5)^2-1/(5)^2 = 149/25

2. 6(-5)^2-1/25 = -150/25

3. 6x^2-2/x^2

Answer 2

`1) \huge\boxed{ \sf f(5) = 5 (24)/(25) }`

`2) \huge\boxed{ \sf f(-5) = 5(24)/(25) }`

`3) \huge\boxed{\sf f(-x) = (6x^2-1)/(x^2) }`

Explanation:

`\displaystyle f(x) = (6x^2-1)/(x^2)`

For f(5):

Put x = 5

`\displaystyle f(5) = (6(5)^2-1)/((5)^2) \\\\f(5) = (6(25)-1)/(25) \\\\f(5) = (150-1)/(25) \\\\f(5) = (149)/(25) \\\\f(5) = 5 (24)/(25)`

For f(-5):

Put x = -5

`\displaystyle f(-5) = (6(-5)^2-1)/((-5)^2) \\\\f(-5) = (6(25)-1)/(25) \\\\f(-5) = (150-1)/(25) \\\\f(-5) = (149)/(25) \\\\f(-5) = 5(24)/(25)`

For f(-x):

Put x = -x

`\displaystyle f(-x) =(6(-x)^2-1)/((-x)^2) \\\\f(-x) = (6x^2-1)/(x^2) \\\\\rule[225]{225}{2}`

Hope this helped!

~AH1807

Peace!