Pls solve this somebody.

Explanation:

When two letters are placed together without any space between them, this implies multiplication.

gf = g times f

So we'll be multiplying the functions g and f.

There are two ways to approach this problem.

Method 1

First we need to find f(4) and g(4)

f(x) = 2x+3

f(4) = 2*4+3

f(4) = 8+3

f(4) = 11

g(x) = 2x^2-1

g(4) = 2(4)^2-1

g(4) = 2(16)-1

g(4) = 32-1

g(4) = 31

Now we multiply the results

gf(4) = g(4)*f(4)

gf(4) = 11*31

gf(4) = 341

Method 2

We'll multiply g(x) with f(x) like so

gf(x) = g(x)*f(x)

gf(x) = (2x^2-1)*(2x+3)

gf(x) = 2x^2*(2x+3) - 1(2x+3) distribute

gf(x) = 4x^3+6x^2-2x-3 distribute again

Now plug in x = 4

gf(x) = 4x^3+6x^2-2x-3

gf(4) = 4(4)^3+6(4)^2-2(4)-3

gf(4) = 4(64)+6(16)-2(4)-3

gf(4) = 256+96-8-3

gf(4) = 341

We get the same result. Method 1 may be the better method, but it will depend on your preference.