If [tex]f(x) = 3x + 7[/tex] and [tex]g(x) = 2x - 5[/tex], find [tex]g(f(-3))[/tex].

A. -26
B. -9
C. -1
D. 10

f ( x ) = 3 x + 7 g ( x ) = 2 x − 5 g ( f ( − 3 )) = ? f ( − 3 ) = 3 x + 7 = 3 ⋅ ( − 3 ) + 7 = − 9 + 7 = − 2 g ( − 2 ) = 2 x − 5 = 2 ∗ ( − 2 ) − 5 = − 4 − 5 = − 9 g ( f ( − 3 )) = − 9 A n s w er : B . ) − 9

Answered by Lilith | 2024-06-10

The **value **of g(f(-3)) would be -9 which is the correct **answer **would be an **option **( B ).
What exactly is a function?
A **function **is defined as a mathematical phrase that specifies a connection between two **variables **in algebra .
We have been given the **functions **below as
f(x) = 3x + 7 and g(x) = 2x - 5
We have to determine the value of g(f(-3))
Substitute the **value **of f(x) = 3x + 7 in the g(x) = 2x - 5 to get g(f(x))
⇒ g(f(x)) = 2(3x + 7) - 5
Apply the **distributive **property of multiplication ,
⇒ g(f(x)) = 6x + 14 - 5
⇒ g(f(x)) = 6x + 9
Substitute the **value **of x = -3 in the g(x) = 2x - 5 to get g(f(-3))
⇒ g(f(-3)) = 6(-3) + 9
⇒ g(f(-3)) = -18 + 9
⇒ g(f(-3)) = -9
Therefore, the **value **of g(f(-3)) would be -9.
Learn more about the **functions **here:
brainly.com/question/12431044
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Answered by saimaparvezVT | 2024-06-16

The value of g ( f ( − 3 )) is − 9 , which corresponds to option B.
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Answered by saimaparvezVT | 2024-12-17