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The functions [tex]f[/tex] and [tex]g[/tex] are defined as follows:

[tex]\[ f(x) = -5x - 1 \][/tex]
[tex]\[ g(x) = 3x^3 + 5 \][/tex]

Find [tex]f(7)[/tex] and [tex]g(-3)[/tex]. Simplify your answers as much as possible.

Sagot :

GinnyAnswer
Sure, let's find [tex]\( f(7) \)[/tex] and [tex]\( g(-3) \)[/tex] step-by-step.

### Part 1: Finding [tex]\( f(7) \)[/tex]

The function [tex]\( f(x) \)[/tex] is defined as:
[tex]\[ f(x) = -5x - 1 \][/tex]

To find [tex]\( f(7) \)[/tex], substitute [tex]\( x = 7 \)[/tex] into the function:
[tex]\[ f(7) = -5(7) - 1 \][/tex]
[tex]\[ f(7) = -35 - 1 \][/tex]
[tex]\[ f(7) = -36 \][/tex]

So, [tex]\( f(7) = -36 \)[/tex].

### Part 2: Finding [tex]\( g(-3) \)[/tex]

The function [tex]\( g(x) \)[/tex] is defined as:
[tex]\[ g(x) = 3x^3 + 5 \][/tex]

To find [tex]\( g(-3) \)[/tex], substitute [tex]\( x = -3 \)[/tex] into the function:
[tex]\[ g(-3) = 3(-3)^3 + 5 \][/tex]
[tex]\[ g(-3) = 3(-27) + 5 \][/tex]
[tex]\[ g(-3) = -81 + 5 \][/tex]
[tex]\[ g(-3) = -76 \][/tex]

So, [tex]\( g(-3) = -76 \)[/tex].

### Conclusion

The computed values are:
[tex]\[ f(7) = -36 \][/tex]
[tex]\[ g(-3) = -76 \][/tex]

Therefore, the answers are:
[tex]\[ f(7) = -36 \][/tex]
[tex]\[ g(-3) = -76 \][/tex]
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