Question

f(x) = 4x + 3x
g(x) = 2x-5
Find (f + g)(x).

Answer 1

Answer:

x=-1

Step-by-step explanation:

4x+3x=2x-5

7x=2x-5

7x-2x=2x-5-2x

5x=-5

Answer 2

Answer:

$14x-35$

$\mathrm{Please\:vote\:me\:Brainliest\:if\:this\:helped!}$

Step-by-step explanation:

$F=4x+3x,\:g=2x-5,\:F\left(x\right)\:\circ \:g\left(x\right):\quad 14x-35$

$\mathrm{For}\:F=4x+3x\:\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=2x-5$

$=4\left(2x-5\right)+3\left(2x-5\right)$

$\mathrm{Expand}\:4\left(2x-5\right)+3\left(2x-5\right):\quad 14x-35$

• $4\left(2x-5\right)+3\left(2x-5\right)$
• $\mathrm{Add\:similar\:elements:}\:4\left(2x-5\right)+3\left(2x-5\right)=7\left(2x-5\right)$
• $=7\left(2x-5\right)$
• $\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac$
• $a=7,\:b=2x,\:c=5$
• $=7\cdot \:2x-7\cdot \:5$d

$\mathrm{Simplify}\:7\cdot \:2x-7\cdot \:5:\quad 14x-35$

• $7\cdot \:2x-7\cdot \:5$
• $\mathrm{Multiply\:the\:numbers:}\:7\cdot \:2=14$
• $=14x-7\cdot \:5$
• $\mathrm{Multiply\:the\:numbers:}\:7\cdot \:5=35$
• $=14x-35$

$\mathrm{Therefore,\:the\:answer\:is\:14x-35}$