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3 years ago

F(x) = 2x+6, g(x) = 3² findf(g (-3))

Mathematics

2 answers:

weeeeeb [17]3 years ago

6 0

Step-by-step explanation:

If F(x) = 2x+6, g(x) = 3² findf(g (-3))

Solution

f(g (-3)) = 2x+6(3²(-3)) = 2x+6(3×3(-3))

= 2x+6(-27) = 54x-162 = 54x = 162

54/54x = 162/54

x = 3

Yanka [14]3 years ago

5 0

Answer:

➩ $f(g(-3)) = 24$

Step-by-step explanation:

➨ Rearrange/Simplify the equations

$F(x)=2x+6\\g(x)=9$

➨ Find $f(g(-3))$

$g(-3)=9$ ➩ All x-values have same y-values ➩ Constant Function

Substitute $g(-3) = 9$ in the f(x)

$f(g(-3)) = f(9)\\f(9)=2(9)+6\\f(9)=18+6\\f(9)=24\\f(g(-3)) = 24$

Thus, the answer ➩ $f(g(-3)) = 24$

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F(x) = 2x+6, g(x) = 3² findf(g (-3))​

F(x) = 2x+6, g(x) = 3² findf(g (-3))