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Sin t and cos t are given. Use identities to find the indicated value. Where necessary, rationalize denominators.sin t = , cos t = . Find sec t.

Find zeros for the polynomial function.f(x) = 6×3 + 19×2 + 8x – 5

Solve the exponential equation. Express the solution set in terms of natural logarithms.e2x = 7

Find the domain of the indicated combined function.Find the domain of (f – g)(x) when f(x) = 3x – 6 and g(x) = 2x – 8.

Write an equation for the line passing through the two given points in standard form. Passing through (4, 5) and perpendicular to the line whose equation is y = x + 3

For the given functions f and g , find the indicated composition.f(x) = x2 + 2x – 5, g(x) = x2 + 2x + 3(f∘g)(4)

Find the zeros of the function algebraically.f(x) = x3 + 2×2 – 9x – 18

Given functions f and g, perform the indicated operations. f(x) = 9x – 9, g(x) = 4x – 2 Find f – g.

Evaluate the function.Find f(k – 1) when f(x) = 4×2 – 3x + 4

Solve the equation by expressing each side as a power of the same base and then equating exponents.ex + 1 =