Question

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

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

Answer 1

Step-by-step 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

Answer:

$1) \huge\boxed{ \sf f(5) = 5 \frac{24}{25} }$

$2) \huge\boxed{ \sf f(-5) = 5\frac{24}{25} }$

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

Step-by-step explanation:

$\displaystyle f(x) = \frac{6x^2-1}{x^2}$

For f(5):

Put x = 5

$\displaystyle f(5) = \frac{6(5)^2-1}{(5)^2} \\\\f(5) = \frac{6(25)-1}{25} \\\\f(5) = \frac{150-1}{25} \\\\f(5) = \frac{149}{25} \\\\f(5) = 5 \frac{24}{25}$

For f(-5):

Put x = -5

$\displaystyle f(-5) = \frac{6(-5)^2-1}{(-5)^2} \\\\f(-5) = \frac{6(25)-1}{25} \\\\f(-5) = \frac{150-1}{25} \\\\f(-5) = \frac{149}{25} \\\\f(-5) = 5\frac{24}{25}$

For f(-x):

Put x = -x

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

Hope this helped!

~AH1807

Peace!