Question

Solve with steps for this questions

Answer 1

7/2t. That’s my answer but sorry I didn’t work it out

Answer 2

see explanation

Explanation:

given

g(x) = 3x² - 5 then g(t) = 3t² - 5

Also g(t) = -
`(7)/(2)` t, hence

3t² - 5 = -
`(7)/(2)` t

multiply both sides by 2 to eliminate the fraction

6t² - 10 = - 7t ( add 7t to both sides )

6t² + 7t - 10 = 0 ← in standard form

(t + 2)(6t - 5) = 0 ← in factored form

Equate each factor to zero and solve for t

t + 2 = 0 ⇒ t = - 2

6t - 5 = 0 ⇒ t =
`(5)/(6)`