{ "query": { "display": "inverse $$10\\log_{10}\\left(4\\right)$$", "symbolab_question": "FUNCTION#inverse 10\\log_{10}(4)" }, "solution": { "level": "PERFORMED", "subject": "Functions & Graphing", "topic": "Functions", "subTopic": "inverse", "default": "\\mathrm{None}", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Inverse of $$10\\log_{10}\\left(4\\right):{\\quad}$$None", "steps": [ { "type": "definition", "title": "Function Inverse definition", "text": "A function g is the inverse of function f if for $$y=f\\left(x\\right),\\:\\:x=g\\left(y\\right)\\:$$" }, { "type": "step", "result": "y=10\\log_{10}\\left(4\\right)" }, { "type": "step", "primary": "Since the function is a constant function it has no inverse function", "result": "\\mathrm{None}" } ], "meta": { "solvingClass": "Function Inverse" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "plotRequest": "10\\log_{10}(4)" }, "showViewLarger": true } }, "meta": { "showVerify": true } }