use the functions ( f(x)=x^{2}-1 ) and ( g(x)=2x + 23 ) to answer parts (a)-(g).\n(a) solve ( f(x)=0 ).\n(d)…

use the functions ( f(x)=x^{2}-1 ) and ( g(x)=2x + 23 ) to answer parts (a)-(g).\n(a) solve ( f(x)=0 ).\n(d) solve ( f(x)>0 ).\n(g) solve ( f(x)geq1 ).\n(b) solve ( g(x)=0 ).\n(e) solve ( g(x)leq0 ).\n(c) solve ( f(x)=g(x) ).\n(f) solve ( f(x)>g(x) ).\n(type an integer or a fraction. use a comma to separate answers as needed.)\n(c) the solution set is ( {-4,6} ).\n(type an integer or a fraction. use a comma to separate answers as needed.)\n(d) solve ( f(x)>0 ). select the correct choice and, if necessary, fill in the answer box to complete your choice.\na. the solution set is ( (-infty,-1)cup(1,infty) ).\n(type your answer in interval notation. simplify your answer. type an exact answer, using radicals as needed. use integers or fractions for any numbers in the expression.)\nb. the solution set is the empty set.\n(e) solve ( g(x)leq0 ). select the correct choice and, if necessary, fill in the answer box to complete your choice.\na. the solution set is \n(type your answer in interval notation. simplify your answer. type an exact answer, using radicals as needed. use integers or fractions for any numbers in the expression.)\nb. the solution set is the empty set.

use the functions ( f(x)=x^{2}-1 ) and ( g(x)=2x + 23 ) to answer parts (a)-(g).\n(a) solve ( f(x)=0 ).\n(d) solve ( f(x)>0 ).\n(g) solve ( f(x)geq1 ).\n(b) solve ( g(x)=0 ).\n(e) solve ( g(x)leq0 ).\n(c) solve ( f(x)=g(x) ).\n(f) solve ( f(x)>g(x) ).\n(type an integer or a fraction. use a comma to separate answers as needed.)\n(c) the solution set is ( {-4,6} ).\n(type an integer or a fraction. use a comma to separate answers as needed.)\n(d) solve ( f(x)>0 ). select the correct choice and, if necessary, fill in the answer box to complete your choice.\na. the solution set is ( (-infty,-1)cup(1,infty) ).\n(type your answer in interval notation. simplify your answer. type an exact answer, using radicals as needed. use integers or fractions for any numbers in the expression.)\nb. the solution set is the empty set.\n(e) solve ( g(x)leq0 ). select the correct choice and, if necessary, fill in the answer box to complete your choice.\na. the solution set is \n(type your answer in interval notation. simplify your answer. type an exact answer, using radicals as needed. use integers or fractions for any numbers in the expression.)\nb. the solution set is the empty set.

Answer

Explanation:

Step1: Solve the inequality (g(x)\leq0)

Given (g(x) = 2x + 23), set up the inequality (2x+23\leq0). Subtract (23) from both sides: (2x\leq - 23).

Step2: Solve for (x)

Divide both sides by (2): (x\leq-\frac{23}{2}=-11.5).

Answer:

A. The solution set is ((-\infty,-\frac{23}{2}])