Find x if g(x) = -2 in Exercise 20. Find x if C(x) = -7 in Exercise 22. Find x i

Question

Find x if g(x) = -2 in Exercise 20. Find x if C(x) = -7 in Exercise 22. Find x if C(x) = -5 in Exercise 23. Find x if S(x) = 1 in Exercise 25. Find x if T(x) = 4 in Exercise 26 In Exercises 35-50, evaluate the given quantities applying the following four functions: f(x) = 2x - 3 F(t) = 4 - t^2 g(t) = 5 + t G(x) = x^2 + 2x - 7 f(-2) G(-3) G(1) f(-2) + g(1) G(-3) - F(-1) 3f(-2) - 2g(1) f(-2)/g(1) G(-3)/F(-1) f(0) - f(-2)/g(1) f(x + 1) - f(x - 1) F(x + 1) - F(-1) g(x + a) - f(x + a) In Exercises 51-82, find the domain of the given function. Express the main in interval f(x) = 2x - 5 f(x) = -2x - 5 g(t) = t^2 + 3t T(x) = 2/x^2 - 4

Explanation / Answer

43.

f(-2)/g(1) = ?

f(-2) = 2*(-2) - 3 = -7

g(1) = 5 + 1 = 6

So,

f(-2)/g(1) = -7/6

48.

F(t + 1) - F(t - 1) = ?

F(t + 1) = 4 - (t+1)^2

F(t - 1) = 4 - (t - 1)^2

So,

F(t + 1) - F(t - 1) = 4 - (t+1)^2 - [4 - (t-1)^2]

= 4 - (t+1)^2 - 4 + (t+1)^2

= (t+1)^2 - (t - 1)^2

= t^2 + 2t + 1 - (t^2 - 2t + 1)

F(t + 1) - F(t - 1) = 4t

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