High School

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If \( F(x) = x^2 + 4x \) and \( G(x) = 2x + 2 \), find \( F(5) + G(6) \).

A. 44
B. 59
C. 98

Answer :

f(5)=(5)^2+4(5)
f(5)=25+20=45
g(6)=2(6)+2
g(6)=12+2=14
45+14=59

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Rewritten by : Barada

Answer:

The answer is 59

Step-by-step explanation:

In order to determine [tex]F(5)+G(6)[/tex] , first we have to determine [tex]F(5)[/tex] and [tex]G(6)[/tex] separately.

For [tex]F(x)=x^2+4*x[/tex], we replace the variable "x" by 5:

[tex]x=5\\F(5)=(5)^2+4*(5)=25+20=45[/tex]

For [tex]G(x)=2*x+2[/tex], we replace the varibale "x" by 6:

[tex]x=6\\G(6)=2*(6)+2=12+2=14[/tex]

The previous procedure is called "evaluating function".

Finally,

[tex]F(5)+G(6)\\45+14\\59[/tex]