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Crank
2 years ago
11

Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2. (f + g)(t – 5)

Mathematics
2 answers:
Marina86 [1]2 years ago
6 0

Answer:

(f+g)(t-5) = t^{2}-9t+21

Step-by-step explanation:

(f+g)(t-5) = t-5+3+(t-5)^2-2

=t-2+t^2-10t+25_2

=T^2-9t+21

Paraphin [41]2 years ago
4 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(x) = x + 3

g(x) =  {x}^{2}  - 2

_________________________________

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (x + 3) +  ({x}^{2} - 2 ) \\

(f + g)(x) =  {x}^{2}  + x + 3 - 2

(f + g)(x) =  {x}^{2}  + x + 1

_________________________________

(f + g)(t - 5) =  ({t - 5})^{2} + (t - 5) + 1 \\

(f + g)(t - 5) =  {t}^{2} - 10t + 25 + t - 5 + 1 \\

Collect like terms

(f + g)(t - 5) =  {t}^{2}  - 9t + 21 \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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