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If [tex]f(x) = 3x + 5[/tex] and [tex]g(x) = x - 1[/tex], then [tex]f[g(-3)] = ?[/tex]

Sagot :

GinnyAnsweridn
To solve for [tex]\( f[g(-3)] \)[/tex], we need to follow these steps:

1. First, evaluate [tex]\( g(-3) \)[/tex]:

[tex]\[ g(x) = x - 1 \][/tex]

Substitute [tex]\( x = -3 \)[/tex]:

[tex]\[ g(-3) = -3 - 1 = -4 \][/tex]

So, [tex]\( g(-3) = -4 \)[/tex].

2. Next, we use this result to evaluate [tex]\( f(g(-3)) \)[/tex], which is [tex]\( f(-4) \)[/tex].

[tex]\[ f(x) = 3x + 5 \][/tex]

Substitute [tex]\( x = -4 \)[/tex]:

[tex]\[ f(-4) = 3(-4) + 5 = -12 + 5 = -7 \][/tex]

So, [tex]\( f(-4) = -7 \)[/tex].

By combining these steps, we find:

[tex]\[ f[g(-3)] = f(-4) = -7 \][/tex]

Thus, the final result is:

[tex]\[ f[g(-3)] = -7 \][/tex]
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