Given f(x) = 3x2 + 7x - 3 and f(x) = 8x – 5, find (f - g)(4).

(f-g)(4)=46

Step-by-step explanation:

(f-g)(4) means f(4)-g(4). We first need to find the values of f(4) and g(4).

f(4)=3(4)²+7(4)-3          [exponent]

f(4)=3(16)+7(4)-3          [multiply]

f(4)=48+28-3                 [add]

f(4)=76-3                       [subtract]

f(4)=73

g(4)=8(4)-5                    [multiply]

g(4)=32-5                      [subtract]

g(4)=27

Now that we have the value for f(4) and g(4), we can subtract them.

73-27=46

(f-g)(4)=46

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1