Find f(x+2) of the function f(x)= 4x^2+2x-4 HELP ASAP PLEASE WORTH 40 POINTS

The functional expression can be simplified by substituting the given value in the function in place of the variable.

For example, if {eq}f(x)=x^{2} {/eq} be a function then {eq}f(2) {/eq} is determined by plugging {eq}x=2 {/eq} in the function.

Step-by-step explanation:

The given function is:

{eq}f(x) = 4x^{2} + 2x {/eq}

Let {eq}y=\frac{f(x + h) - f(x)}{h} {/eq} then we have:

{eq}begin{align*} y & = \frac{4(x+h)^{2} + 2(x+h)-(4x^{2}+2x)}{h} & = \frac{4(x+h)^{2} + 2(x+h)-(4x^{2}+2x)}{h} & = \frac{4(x^{2}+2xh+h^{2}) + 2x+2h-4x^{2}-2x}{h} & = \frac{4x^{2}+8xh+4h^{2}+ 2h-4x^{2}}{h} & = \frac{8xh+4h^{2}+ 2h}{h} & = \frac{h(8x+4h+2)}{h} & = 8x+4h+2 end{align*} {/eq}

Given

To find f(x + 2) substitute x with x + 2 in the given function:

f(x+2)= 4(x + 2)² + 2(x + 2) - 4

         = 4(x² + 4x + 4) + 2x + 4 - 4

         = 4x² + 16x + 16 + 2x

         = 4x² + 18x + 16

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.