For the function shown below, find f(3): f(x)=2x^4-8x^2+5x-7

We have been given the function

[tex]f(x)=2x^4-8x^2+5x-7[/tex]

We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.

[tex]f(3)=2(3)^4-8(3)^2+5(3)-7[/tex]

Now, we simplify this step by step.

First of all [tex]3^4=81\text{ and }3^2=9[/tex]. Thus, we have

[tex]f(3)=2\times 81 -8\times 9+5(3)-7[/tex]

Now, we can easily simplify it by PEMDAS

[tex]f(3)=162-72+15-7[/tex]

[tex]f(3)=98[/tex]

Therefore, the value of f(3) is 98.